Question

Which equation describes this line?

Answer 1

The last equation would best describe the line.

y-4=3(x+2)

y-4=3x + 6

y=3x + 10

Answer 2

Answer:

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

Step-by-step 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) = $\frac{y_2 - y_1}{x_2 - x_1}$

Plug in the given points, we get

Slope (m) = $\frac{13 - 4}{1 - (-2)}$

= 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)