Explanation: The equation of line in slope-intercept form is: y = mx + c where: m is the slope c is the y-intercept
We are given that the slope = -5. Therefore, the equation becomes: y = -5x + c
Now, we need to get the value of c. To do so, we will substitute with the given point (3,-9) in the equation and solve for c as follows: y = -5x + c -9 = -5(3) + c -9 = -15 + c c = -9 + 15 = 6
Based on the above, equation of line is: y = -5x + 6