Answer:
Step-by-step explanation:
First find the slope of the line y =4x + 15
slope = 4
Slope of the required line = -1/m = -1/4
(-4 , 7)
Slope point form: y - y1 = m(x - x1)
[tex]y - 7 = \frac{-1}{4}(x - [-4])\\\\y -7 = \frac{-1}{4}(x + 4)\\\\y - 7 =\frac{-1}{4}x + 4*\frac{-1}{4}\\\\y - 7 =\frac{-1}{4}x-1\\\\y = \frac{-1}{4}x - 1 + 7\\\\y = \frac{-1}{4}x + 6[/tex]