Question

Which equation describes this line?

Answer 1

D) y - 4 = 3(x +2)

Explanation:

Given:

From the given graph, the points on the line are: (-2, 4) and (1, 13)

First, let's find the slope of the line using the two points.

slope (m) =
`(y_2 - y_1)/(x_2 - x_1)`

Plug in the given points, we get

Slope (m) =
`(13 - 4)/(1 - (-2))`

= 9/(1 +2)

= 9/3

Slope (m) = 3

The equation of the line is
`y - y_1 = m (x - x_1)`

We know slope (m) = 3, x_1 = -2 and y_1 = 4

Now plug in these values in the above equation of the line, we get

y - 4 = 3(x -(-2))

y -4 = 3(x +2)

Therefore, the answer is D) y - 4 = 3(x +2)