Write an equation in slope-intercept form of the line that passes through the given points. 0,4 4,2

Answers

Answer 1

First, find the slope: m = Δy/Δx = (2-4)/(4-0) = -0.5

The "intercept" in the slope-intercept form of a line is the y-intercept. And at the y-intercept, x = 0. Conveniently, one of our points has an x = 0, i.e., the point (0,4). So, our equation would be y = -0.5x + 4.

If you wanted to double-check, you could use the point (4,2) to find the point-slope equation of the line and see if it matches up with the slope-intercept form above. Given a slope of -0.5 and a point (4,2), our point-slope equation would be y - 2 = -0.5(x - 4). If we expand this, we get y - 2 = -0.5x + 2. Solving for y, we obtain y = -0.5x + 4.

Thus, y = -0.5x + 4 would be our equation.


Related Questions

.............................

Answers

Answer:

1 inch = 40 miles

Step-by-step explanation:

140 ÷ 3.5 = 40

Guadrilateral whose vertices are A(-2-2),B(5-2),C(4-3) and D(-3,-3)what kind of a guadrilatetal is ABCD?

Answers

Answer:

The quadrilateral ABCD is a parallelogram

Step-by-step explanation:

The vertices of the quadrilateral ABCD are;

A(-2 -2), B(5, -2), C(4, -3)and D(-3, -3)

The slope of segment [tex]\overline {AB}[/tex] = (-2 - (-2))/(5 - (-2)) = 0

The length of segment [tex]\overline {AB}[/tex] = 5 - (-2) = 7 (points having the same y-coordinates)

The slope of segment [tex]\overline {AD}[/tex] = (-3 - (-2))/(-3 - (-2)) = 1

The length of segment [tex]\overline {AD}[/tex] = √((-3 - (-2))² + (-3 - (-2))²)  = √2

The slope of segment [tex]\overline {DC}[/tex] = (-3 - (-3))/(-3 - 4) = 0

The length of segment [tex]\overline {DC}[/tex] = 4 - (-3) = 7 (points having the same y-coordinates)

The slope of segment [tex]\overline {BC}[/tex] = (-3 - (-2))/(4 - 5) = 1

The length of segment [tex]\overline {AD}[/tex] = √((4 - 5)² + (-3 - (-2))²)  = √2

Therefore;

The opposite sites of the quadrilateral ABCD are equal; [tex]\overline {AB}[/tex] = [tex]\overline {DC}[/tex], [tex]\overline {AD}[/tex] = [tex]\overline {BC}[/tex]

Given that the slope of a line gives the inclination of the line on a graph, we have;

The opposite sites of the quadrilateral are parallel; [tex]\overline {AB}[/tex] ║ [tex]\overline {DC}[/tex], [tex]\overline {AD}[/tex] ║ [tex]\overline {BC}[/tex]

Therefore the quadrilateral ABCD is a parallelogram because the opposite sides of the quadrilateral ABCD are parallel.

A borehole pumps 7,2kl of water in 1hour. How many litres does it pump in 1second.​

Answers

Answer:

20 liters

Step-by-step explanation:

The computation of the number of liters does it pump in 1 second is shown below:

Since the borehole pumps 7,2 kl of water i.e. 72,000 liters in one hour

Now the number of liters in 1 second is

= 72,000 × 1 seconds ÷ 3,600 seconds

= 20 liters

Find the exact area of ABC

Answers

Answer:

A = 18[tex]\sqrt{3}[/tex] sq meters

Step-by-step explanation:

find BD, can use altitute rule:

3 / BD = BD / 9

BD² = 27

BD = [tex]\sqrt{27}[/tex] = 3[tex]\sqrt{3}[/tex]

Area of ΔABC = 1/2 · (3+9) · 3[tex]\sqrt{3}[/tex]

A = 6 · 3[tex]\sqrt{3}[/tex]

Pleaseee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

first you add all the sides up and then subtract the perimeter with all the added up sides u will get ur answer

Help I need to submit this ASAP​

Answers

Answer:  th

Step-by-step explanation:

Which triangles are similar?

Answers

Answer:

c

Step-by-step explanation:

Which equations define y as a nonlinear function of x? Select ALL that apply.

Answers

Answer:

c and f

Step-by-step explanation:

finding the distance between two points (-4,-3),(6,1)​

Answers

Answer:

√16 or 10.77033

Step-by-step explanation:

distance formula

Please help me. Will mark as brainliest

Answers

Answer:

y = 8

Step-by-step explanation:

sin(45 degrees) = √2/2

==> x = y = 8

Answer:

y = 8

Step-by-step explanation:

Help me please, its timed

Answers

Sry there is no answer well actually the answer has an infinite amount of answers but you can't just pick one and say that's that and this is with all of them... sorry

What is the equation of the line in y=mx+b format? BRAINLIST WILL BE REWARDED

Answers

Answer:

y = 2/5x - 1

Step-by-step explanation:

There are a couple of different ways to figure this out, but since you have a graph, the fastest way is to count the slope, or m in the formula, by counting the rise (units up) over run (units to the right), which is 2/5. Then, find the value of b by finding the y-intercept on the graph, or -1.

Given x || y.

∠1 and ∠5 are _______ angles.
complementary
corresponding
supplementary
vertical

Answers

Angles 5 and 1 are corresponding angles because the line intersects two parallel lines

Sketch the graph of each linear inequality

Answers

Answer:

Step-by-step explanation:

In an inequality, sign of greater than or less than decides that the graph of the line will be a dotted line.

And sign of greater than means area above the dotted line.

Table for input output values,

x          -4           0            4           6          

y          -3          -4           -5        -5.5

Plot these points and join them by a dotted line.

Now we shade the area above the dotted line to show the solution area of the inequality.

PLEASE ANSWER THIS QUICKLY- I WILL MARK YOU BRAINLIST IF YOU SHOW YOUR WORK!

Answers

Answer:

3, 130 degrees

Step-by-step explanation:

Angles TUW and VUW are congruent, so their opposite sides will be congruent as well

GF and IF are congruent, so their opposite angles will be congruent as well. 65 + 65 is 130 degrees.

PLEASE HELP I WILL GIVE BRAINLIEST FIND THE SURFACE AREA​

Answers

Answer:

205.28

Step-by-step explanation:

See the screenshot provided for full steps and solution.



Which of the following shapes is a convex polygon?
OA)
OB)
OC)
OD)

Answers

Answer:

B is a convex polygon cause it points out

Pls help me!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  6.  A

  7.  C

  8.  E

Step-by-step explanation:

6. If s is the number of programs sold for $0.45 each, then the contribution to Devon's pay (p) from selling programs is 0.45s. The per-game pay is added to that to give Devon's total pay:

  p = 0.45s + 40 . . . . . matches choice A

__

7. If Robert earns $25 per hour for x hours in tips, his tip pay is 25x. The flat rate is added to that to give the amount Robert makes:

  y = 25x + 40 . . . . . matches choice C

__

8. The graph of a proportional relationship is a straight line through the origin. This description matches B and C only, choice E.

Pierce bought 16 ounces of motor oil for $2.24. How much is motor oil per ounce?

Answers

Answer:

$0.14

Step-by-step explanation:

Answer:

0.14

Step-by-step explanation:

2.24÷16=0.14

HELP PLEASE
A farmer has decided to divide his land area in half in order to plant soy and corn. Calculate the area of the entire area so he knows how much soil is needed.


Each bag of soil covers 40 square yards. How many bags should the farmer purchase?

1 bag
2 bags
3 bags
4 bags

Answers

i think 2 bags or 1 bags hope it helps

The area of the farmer's land is 54 square yards and number of bags needed is 2. The correct option is (B).

What is a triangle?

A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

For the given diagram, the following data is given as,

Base of the upper and lower triangle is 6.5 + 2.5 = 9 yards.

And, the height is given as 6 yards.

Now, the area of the land can be given as,

Area of upper triangle + Area of lower triangle

⇒ 1/2 × 9 × 6 +  1/2 × 9 × 6

⇒ 54 square yards.

As per the question, the area of the land is more than the soil contained in 1 bag.

Which implies the number of bags required is given as 2.

Hence, the area of land and number of bags required is obtained as  54 square yards and 2 respectively.

To know more about triangle click on,

https://brainly.com/question/2773823

#SPJ2

Can anybody help me on these 2 problems.

Answers

Answer:

15. 1800

16. 18759

Step-by-step explanation:

216 * 5 = (200 + 10 + 6) * 5 = 200 * 5 + 10 * 5 + 6 *5 = 1000 + 50 +30 = 1800

6,253 * 3 = (6000 + 200 + 50 + 3) * 3 = 18000 + 600 + 150 +9 = 18600 + 150 +9 = 18750 + 9 = 18759

3. Sarah's bank statement shows a change of - $2.00 in her income
each week. How many weeks will it take before the total change is
- $14?

Answers

7 weeks. 2.00 a week x 7 weeks will be $14
The total change will be 7 weeks long until $14 is seen in her income

PLS HELP WILL GIVE BRAINLIEST!! Identify this set of lines as parallel, perpendicular, or neither.

Answers

Answer:

It will be neither. Also, thanks for the points friend

Step-by-step explanation:

Answer:

The answer is neither.

Step-by-step explanation:

solve 27=3b ITS DUE PLZ HELP

Answers

Answer:

b=9

Step-by-step explanation:

divide by 3 on both sides to get the variable (b) by itself

Question 1 of 17
Find the volume of the conical paper cup
3 cm
8 cm
OA Bп cm
ОВ. 72 л cm
С. 64 л cm
OD. 24 л cm3
ILL GIVE BRAINLIST:)

Answers

Answer:

[tex]24\pi \: cm {}^{2} [/tex]

Step-by-step explanation:

The area of a cone is

[tex]\pi \times r {}^{2} + \pi \times r \times \sqrt{ {r }^{2} + {h}^{2} } [/tex]

The volume of the conical paper cup will be option (D) 24π

What is Cone?A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the vertex.A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the vertex, to all of the points on a base that is in a plane that does not contain the vertex.Cone is a solid or hollow object which tapers from a circular or roughly circular base to a point.

What are steps to solve this problem?

The steps are as follow:

Given:

r = base radius = 3 cm

h = height of cone = 8 cm

V = volume of cone = (1/3)πr²h.

V = (1/3)π*3²*8.

V = 24π

So, the volume of the conical paper cup will be option (D) 24π

Learn more about Cone here:

https://brainly.com/question/6613758

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please help!!! .> ^ <.`

Answers

Answer:

no idea so sorry

Step-by-step explanation:

As an estimate we are told 5miles is 8km convert 68 km to miles ?

Answers

Answer:

42.5miles

Step-by-step explanation:

68÷8= 8.5

8.5×5= 42.5 miles

we use the numbers given to us because we are finding the estimate.

our estimate is correct because 68km= 42.3 miles

Answer:

The exact answer is 42.25 miles

Step-by-step explanation:

divide 68 by 8 and get 8.5. Multiply 8.5 by the 5 so you get 42.5. Which is a super close estimate.

ÜSLÜ SAYILAR
MATEMATIK
343 Bir ton atik kait geri dönOstogonde 16
ağacı kurtarır.
Buna göre 2 ton atik kağıdın geri dönüşüm
sağlandığında kaç tane agaç kurtanımış olur?



acil lazım​

Answers

cant understand your language can you translate in English

Can you simply these fractions?

Answers

Answer:

[tex] \frac{1}{5 } = \frac{3}{8} = \frac{3}{5} = \frac{3}{4} = \frac{3}{7} = \frac{1}{9} = \frac{4}{5} = \frac{5}{6} = \frac{2}{3} = \frac{1}{10} [/tex]

Answer:

4/20= 1/5

9/24= 3/6

18/30= 3/5

5/45= 1/9

20/25= 4/5

10/12= 5/6

6/9= 2/3

4/40= 1/10

Step-by-step explanation:

What i did was use different numbers to divide them with the numerator and denominator.  

what is a way that i can get 3x and 2x to cancel out in this problem? i need to get - 5y = -13 and + 15y = -3 alone.

problem:
3x + 5y = -13
2x + 15y= 3

Answers

Answer:

For 3x + 5y = -13 the answer is x= -13/3 + 5y/3

and for 2x + 15y=3 the answer x= 1.5 + (-15y/2)

Step-by-step:

For 3x+5y=-13 you have to add 5y on both sides. Then you have to divide by 3 on both sides and cancel out the common factor of 3. Then you would get x= 13/3 + 5y/3.

For 2x + 15y=3 you have to subtract 15y on both sides of the equation. You should have 2x=3 + (-15y). Then divide by 2 on both sides. 3 divided by 2 is 1.5 and -15y divided by 2 is -15y/2 since 2 doesn't have the same variable. so the answer should be x= 1.5 + (-15y/2).

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