Question

Find an equation of the line perpendicular to the graph of 14x-7=1 that passes through the point at (-2,4)

Answer 1

The correct answer is A) y=2x + 3

Explanation:

Edge 2021.

Answer 2

we know that

If two lines are perpendicular, then the product o their slopes is equal to minus one

so

`m1*m2=-1`

Step 1

Find the slope of the given line

we have

`14x-7=1\\14x=1+7`

`x=8/14` ------->
`x=4/7`

This line is parallel to the y-axis

so

the perpendicular will be parallel to the x-axis

Step 2

The equation of the line perpendicular to the given line is the y-coordinate of the given point

Point
`(-2,4)`

the equation is

`y=4`

therefore

the answer is

`y=4`

see the attached figure to better understand the problem