Answer:
[tex]y = \frac{1}{4} x - 3[/tex]
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
The product of the gradients of perpendicular lines is -1.
-4m= -1
m= -1 ÷(-4)
m= ¼
Substitute m= ¼ into the equation:
y= ¼x +c
To find the value of c, substitute a pair of coordinates.
y= ¼x +c
When x= -4, y= -4,
-4= ¼( -4) +c
-4= -1 +c
c= -4 +1
c= -3
Thus, the equation of the line is y= ¼x -3.
