Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form. The line is perpendicular to the line defined by y = 4x - 8 and passes through the point(8, 3).
A) $ y=-\frac{1}{4} x+5 $
B) $ y=\frac{1}{4} x+5 $
C) $ y=-\frac{1}{4} x-5 $
D) $ y=-4 x-5 $

Question

Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form. The line is perpendicular to the line defined by y = 4x - 8 and passes through the point(8, 3). 
A) $ y=-\frac{1}{4} x+5 $
B) $ y=\frac{1}{4} x+5 $
C) $ y=-\frac{1}{4} x-5 $
D) $ y=-4 x-5 $

Quizplus · Accepted Answer

The slope of the line perpendicular to $y = 4x - 8$ is $-\frac{1}{4}$ (negative reciprocal of 4). Using the point (8, 3) to solve for $b$ in $y = mx + b$, we get $3 = -\frac{1}{4}(8) + b$, leading to $b = 5$. Thus, the equation is $y = -\frac{1}{4}x + 5$.

Write an Equation of the Line Satisfying the Given Conditions y=−14x+5 y=-\frac{1}{4} x+5 y=−41​x+5

Write an Equation of the Line Satisfying the Given Conditions $y=-\frac{1}{4} x+5$