Question

for the line $y = 5x + 2$, (a) find the slope, and (b) sketch the graph. (a) select the correct choice below and, if necessary, fill in the answer box to complete your choice. \\(\bigcirc\\) a. the slope of the line is \\(\square\\). (type an integer or a simplified fraction.) \\(\bigcirc\\) b. the slope is undefined.

Explanation:

Step1: Recall slope - intercept form

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

Step2: Identify \(m\) in the given equation

The given equation of the line is \(y=5x + 2\). Comparing this with the slope - intercept form \(y=mx + b\), we can see that \(m = 5\). So the slope of the line is 5.

Answer:

A. The slope of the line is \(5\)