Question

directions: write the equation in slope - intercept form for each line based on the infor

1. the slope of the line is $-\frac{1}{2}$ and the $y$-intercept is $-5$.

Explanation:

Step1: Recall slope - intercept form

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

Step2: Substitute the values of \(m\) and \(b\)

We are given that the slope \(m=-\frac{1}{2}\) and the \(y\) - intercept \(b = - 5\). Substituting these values into the slope - intercept form \(y=mx + b\), we get:
\(y=-\frac{1}{2}x+(-5)\)
Simplifying the right - hand side, we have \(y = -\frac{1}{2}x-5\)

Answer:

\(y = -\frac{1}{2}x - 5\)