To find the equation of the line passing through the points (0, 3) and (-7, -2), we can use the slope-intercept form of a linear equation, which is y = mx + b.
First, let's find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
m = (-2 - 3) / (-7 - 0)
m = -5 / -7
m = 5/7
Now, let's substitute one of the points and the slope into the equation to find the y-intercept (b). Let's use the point (0, 3):
3 = (5/7)(0) + b
3 = b
So, the equation of the line is y = (5/7)x + 3.