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) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in the given points, we get
Slope (m) = [tex]\frac{13 - 4}{1 - (-2)}[/tex]
= 9/(1 +2)
= 9/3
Slope (m) = 3
The equation of the line is [tex]y - y_1 = m (x - x_1)[/tex]
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)
