Question

a line has a slope of 1 and a y - intercept of 7. 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 \(m = 1\) and the \(y\) - intercept \(b=7\). Substituting these values into the slope - intercept form \(y=mx + b\), we get \(y=1\times x+7\).
Simplifying the equation, we have \(y=x + 7\).

Answer:

\(y=x + 7\)