Question

Find a slope that is parallel and one that is perpendicular to the given equation. y 7 I + 2 3 A parallel slope (just put the number not an x) is: A perpendicular slope (Just put the number not an x) is:

Answer 1

Given expression of the line is,

$y=\frac{7}{3}x+2$

The expression of a line with slope m can be represented as,

$y=mx+c$

Here, 'c' is a connstant.

on comparing the slope expression of a line and the give equation of the line, the slope of the line is,

$m=\frac{7}{3}$

The slope of a parallel line will be equal. Thus the slope of a line parallel to the given line is 7/3.

The product of slope of two-line which are perpendicular to each other is negative one.

Let 'k' be the slope of the perpendicular line to the given line.

$\begin{gathered} m\times k=-1 \\ k=\frac{-1}{m} \end{gathered}$

Substitute value of m in the above expression.

$\begin{gathered} k=\frac{-1}{(\frac{7}{3})} \\ =\frac{-3}{7} \end{gathered}$

Thus, the slope of the line which is perpendicular to the given line is -3/7.