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=(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=(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* k=-1 \\ k=(-1)/(m) \end{gathered}`

Substitute value of m in the above expression.

`\begin{gathered} k=(-1)/(((7)/(3))) \\ =(-3)/(7) \end{gathered}`

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