Question

Please Helpp mee

Answer 1

Answer:

Step-by-step explanation:

Perpendicular lines are lines whose slopes are negative reciprocals of each other

To find the slope of the line we are given, we can rearrange the equation

$4x - 5y = 4\\4x - 4 = 5y\\y = \frac{4}{5}(x) - \frac{4}{5}$

The slope of this line is $\frac{4}{5}$, so the slope of the other line is $\frac{-5}{4}$

next, we can use the given point to find the equation $y = mx +b$

we know m, we can solve for b

$y = \frac{-5}{4}(x) + b\\-3 = \frac{-5}{4}(-2) + b\\-3 = \frac{5}{2} + b\\\frac{-6}{2} = \frac{5}{2} + b$

$b = \frac{-11}{2}$

$so,\\y = \frac{-5}{4}(x) - \frac{11}{2}$