PLEASE GUYS

(hopefully I didn't make a mistake :D )

y=-3+21

Step-by-step explanation: (I can't sketch the graph for you)

First you need to find the slope of the line passing through the points (5,4) and (-7,0). This can be done using the point-slope form of a line.

Point 1: (-7,0)

Point 2: (5,4)

y2-y1=m(x2-x1)

m= (y2-y1)/(x2-x1) = (4-0)/(5-(-7)) = 4/12= 1/3

Now, when two lines are perpendicular, they are negative recopricols. So the slope of the line would be -3.

Since the equation of the line you are trying to find passes through the point (4,9), using point-slope formula again and solve for y.

y-9=-3(x-4)    

y= -3x+12+9

y=-3x+21