Question

a line has a slope of $-\frac{3}{4}$ and a $y$-intercept of $-\frac{3}{2}$. write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is given by the formula \(y = mx + b\), where \(m\) is the slope of the line and \(b\) is the \(y\) - intercept.

Step2: Substitute the given values

We are given that the slope \(m=-\frac{3}{4}\) and the \(y\) - intercept \(b =-\frac{3}{2}\). Substituting these values into the slope - intercept form \(y=mx + b\), we get:
\(y=-\frac{3}{4}x-\frac{3}{2}\)

Answer:

\(y =-\frac{3}{4}x-\frac{3}{2}\)