Question

a line has a slope of 7 and a y-intercept of -6. 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 \(m = 7\) and the \(y\) - intercept \(b=-6\). Substituting these values into the slope - intercept form \(y = mx + b\), we get \(y=7x+(-6)\), which simplifies to \(y = 7x-6\).

Answer:

\(y = 7x-6\)