Answer:
y = 1/3 x + 14/3
Step-by-step explanation:
We can identify the two points shown easily.
They are (-2, 4) and (4, 6).
First, we find the line of the slope of the line that contains those two points.
slope = m = (y2 - y1)/(x2 - x1) = (6 - 4)/[4 - (-2)] = 2/6 = 1/3
Now we use one point and the slope to find the y-intercept.
y = mx + b
Let's use point (4, 6) and the slope, 1/3.
6 = (1/3)(4) + b
18/3 = 4/3 + b
b = 18/3 - 4/3
b = 14/3
The equation is
y = mx + b
y = 1/3 x + 14/3
