Question

question
find the y-intercept of the line represented by the equation below.
$y = -5 + \frac{1}{4}x$

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: Rewrite the given equation

The given equation is \(y=-5+\frac{1}{4}x\). We can rewrite it in the form \(y = mx + b\) as \(y=\frac{1}{4}x-5\).
By comparing \(y=\frac{1}{4}x - 5\) with \(y=mx + b\), we can see that \(b=-5\).

Answer:

The \(y\) - intercept of the line is \(- 5\) (or the point \((0,-5)\)).