Question

38. Which equation represents the data in
the table?

Answer 1

C. y = 2x - 4

Explanation:

In this problem, you can use two equations. The equation for slope. y₂-y₁ ÷x₂-x₁ = rise÷run otherwise simplified to m. Next, you need the linear equation, y=mx+b. Where you can directly input the m from the equation for slope. You can use the two points (3,2) and (2,0). 2-0÷3-2 = 2÷1 or 2. 2=m. Putting 2 into the next equation (y=mx+b) you now have y=2x+b.

Next use a point like (2,0) and input the x and y into the equation. (0)=2(2)+b.

0=4+b

-4 -4

-4=b

The equation is now. y=2x-4.

Answer 2

C. y = 2x -4

Explanation:

We can use the points (0, -4) and (2, 0).

y = mx + b (m is slope, b is y-intercept)

m = delta y / delta x

m = 4 / 2

m = 2

y = 2x + b

We can plug in (2, 0):

0 = 4 + b

b = -4

y = 2x - 4