Question

find the slope of the line represented by the equation below.
y = -3 + 4x

Explanation:

Step1: Recall slope - intercept form

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

Step2: Rewrite the given equation

The given equation is \(y=-3 + 4x\). We can rewrite it in the slope - intercept form \(y=mx + b\) as \(y = 4x-3\).
By comparing \(y = 4x-3\) with \(y=mx + b\), we can see that \(m = 4\).

Answer:

The slope of the line is \(4\).