Respuesta :
Answer:
y= -1/4x + 10.5
Step-by-step explanation:
First you need to change the equation to write it in slope intercept form. Subtract 4x from both sides and then divide both sides by a negative sign.
4x - y = 15
-4x -4x
-y = -4x +15
[tex]\frac{-y}{-} = \frac{-4x+15}{-}[/tex]
y = 4x+15
To find the perpendicular slope of the line you must find the inverse of the original slope. The original slope is 4x so the inverse of 4x would be -1/4x. Now that you have your slope you must find the y intercept. You can do this by inputting the x and y values into the equation of a line which is y= mx +b
9 = -1/4(6) + b
9 = -1.5 + b
+1.5 +1.5
10.5 = b
