Write the equation of the line, given the y- and x-intercepts. y-intercept (0, –6), x-intercept (–2, 0)

You can easily find the slope of the line from these 2 intercepts / points.
                         0-[-6]
m = rise/run = = 6/2 = 3 = m
                          -2-0
Now stick values into the point-slope formula as follows:

                      y-(-6) = 3(x-0), or y + 6 = 3x, or y = 3x - 6 (answer)