Question

use the slope and y-intercept to write the equation of the line.
m = 1/2
b = 1
finally, write the equation in slope-intercept form, y = mx + b.

Explanation:

Step1: Recall slope-intercept form

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

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

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

Answer:

\(y=\frac{1}{2}x + 1\)