Final answer:
The equation of the line is y = (3/2)x - 10.
Step-by-step explanation:
To find the equation of a line, we can use the formula y = mx + b, where m is the slope and b is the y-intercept.
Given that the line passes through the points (2, -7) and has a slope of 3/2, we can substitute these values into the equation.
Substituting 2 for x, -7 for y, and 3/2 for m, we get :
-7 = (3/2)(2) + b.
Simplifying, we have -7 = 3 + b.
Subtracting 3 from both sides, we find that b = -10.
So, the equation of the line is y = (3/2)x - 10.