Answer:
y = -5x + 6
Step-by-step 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
Hope this helps :)