The equation of a line in the slope-intercept form is y = mx + b, where "m" is the slope and b is the y-intercept.
To find the equation of the line given two points (x, y), follow the steps below.
Step 01: Substitute the point (-3, 2) in the equation.
To do it, substitute x by -3 and y by 2.

Isolate b by adding 3m to both sides of the equation.

Step 02: Substitute b in the equation of the line.
Knowing that b = 2 + 3m. Then,

Step 03: Substitute the point (-6, -2) in the equation from step 02.
To do it, substitute x by -6 and y by -2.

Isolate "m" by subtracting 2 from both sides.

Finally, divide both sides by -3:

Knowing "m", use the equation from step 1 to find "b".
Step 04: Find "b".

Substituting m by 4/3 and solving the equation:

Answer: The equation of the line is:
