Answer:
y = (4/3)x - 2/3
Explanation:
From (-6, -2) to (-3, 2) we see the x-component changing by 3 units and the y-component by 4 units. Thus, the slope of this new line is
m = rise / run = 4/3.
Let's focus on the point (-3, 2). Here x = -3 and y = 2. Plugging these three values into the slope-intercept form of the equation of a line, we get:
2 = (4/3)(2) + b.
Then 2 = 8/3 + b, or 6/3 = 8/3 + b. Thus, b = 6/3 - 8/3, or -2/3.
The equation of the desired line is y = (4/3)x - 2/3