Chapter 12, Problem 4STP

To determine

To calculate: The slope of line parallel to given line.

Answer to Problem 4STP

(J) $4$

Explanation of Solution

Given information: An equation of line is given as $y-2=4(x+1)$

Formula used: We know that equation of line in slope-intercept form is $y=mx+b$ . Where $m$ is the slope and $b$ is the y-intercept of the line.

Calculation: Rewrite the given line in the slope-intercept form.

  $\begin{array}{l}y-2=4(x+1)\\ y-2=4x+4\\ y=4x+4+2\\ y=4x+6\end{array}$

So, the slope of the given line would be $m=4$ .

And, when lines are parallel then, they have the same slope. So, the slope of the line parallel to $y-2=4(x+1)$ would be $m=4$