Question

Write the equation of the line that is perpendicular to y = (4/5)x+2 and has a y-Intercept of -1.

Answer 1

`y=-(5)/(4)x-1`

Step-by-step explanation

We want to find the equation of the line that is perpendicular to:

`y=(4)/(5)x+2`

and has a y-intercept of -1.

A line that is perpendicular to another line has a slope that is the negative inverse of the given line.

The slope of the line given is:

`m=(4)/(5)`

Therefore, its negative inverse is:

`m=-(5)/(4)`

The general equation of a straight line is:

`y=mx+b`

where m = slope

b = y-intercept

Hence, the equation of the line perpendicular to the given line is:

`y=-(5)/(4)x-1`