Question

a line has a slope of 1 and a y-intercept of 4. 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 equation \(y = mx + b\), 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 \(m = 1\) and the \(y\) - intercept \(b = 4\). Substituting these values into the slope - intercept form \(y=mx + b\), we get \(y=1\times x+4\), which simplifies to \(y=x + 4\).

Answer:

\(y=x + 4\)