Answer:
y = - [tex]\frac{1}{4}[/tex] x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4x - 3 ← is in slope- intercept form
with slope m = 4
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex] , then
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute (4, 8) into the partial equation
8 = - 1 + c ⇒ c = 8 + 1 = 9
y = - [tex]\frac{1}{4}[/tex] x + 9 ← equation of perpendicular line
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