Question

find the slope and the y-intercept of the line.
-3x - 4y = -20
write your answers in simplest form.
slope:

y-intercept:

Explanation:

Step1: Rewrite in slope-intercept form

We start with the equation \(-3x - 4y=-20\). We want to solve for \(y\) to get it in the form \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\)-intercept.
First, add \(3x\) to both sides: \(-4y=3x - 20\).

Step2: Solve for y

Divide every term by \(-4\): \(y=\frac{3x}{-4}+\frac{- 20}{-4}\).
Simplify the fractions: \(y =-\frac{3}{4}x + 5\).
From the slope - intercept form \(y=mx + b\), we can see that the slope \(m =-\frac{3}{4}\) and the \(y\)-intercept \(b = 5\).

Answer:

slope: \(-\frac{3}{4}\)
y - intercept: \(5\)