Answer
y = $\frac{1}{4}$x - 5
Work Step by Step
To find an equation that is perpendicular to y = -4x + 5 and that passes through the point (8,-3), we first have to find the slope on the new equation. We do this by taking the negative reciprocal of the first equation.
m = -4 = $\frac{1}{-4}$ = $\frac{1}{4}$
Now we substitute the slope in y=mx+b formula.
y = $\frac{1}{4}$x + b
Then, we substitute the point (8,-3) into this equation.
(-3) = $\frac{1}{4}$(8) + b
-3 = 2 + b
-5 = b
Now we substitute the slope and y-intercept into the equation to get the final result:
y = $\frac{1}{4}$x - 5
