Question

write an equation in slope-intercept form for the line with slope 3 and y-intercept -4.

Explanation:

Step1: Recall slope-intercept form

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept.

Step2: Substitute the given values

We are given that the slope \(m = 3\) and the \(y\) - intercept \(b=-4\). Substituting these values into the slope - intercept form \(y=mx + b\), we get \(y = 3x+( - 4)\), which simplifies to \(y=3x - 4\).

Answer:

\(y = 3x-4\)