Question

write an equation of a line in slope-intercept form with the given slope and y-intercept. slope: 5, y-intercept: -3

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 \(m = 5\) and the \(y\) - intercept \(b=-3\). Substituting these values into the slope - intercept form \(y=mx + b\), we get \(y = 5x+(-3)\), which simplifies to \(y = 5x - 3\).

Answer:

\(y = 5x-3\)