Question

Find the equation of a line which has a slope of 8 and crosses the y- axis at -3

Answer 1

`\large\textsf{{Hi! In this problem we need to find the equation of a line}}\\\textsf{in slope-intercept form: \textbf{y=mx+b}, where \textbf{m} is the slope}\\\textsf{and \textbf{b} is the y-intercept}}.\\\\\\\\\textsf{The question provides us both the slope \& the y-intercept}\\\textsf{This means we can find the equation by}\\\textsf{plugging the numbers into the formula:}\\\\\textbf{y=mx+b}\\\\\textbf{y=8x+(-3)}\\\\\textbf{y=8x-3}\twoheadleftarrow\boldsymbol{Answer!}\ddot\smile`

Answer 2

y = 8x - 3

Explanation:

The point where the line crosses the y-axis is the y-intercept and the intercept we're looking for. We know the slope 8 and the intercept -3, so we can just provide the answer