Question

In the xy coordinate plane the slope of line p 1/2 and it’s x-intercept is -3. Find the equation of a line that is perpendicular to p and intersects p at is x-intercept

A) y=-2x-3

B) y=-2x+3

C) y=-2x-6

D) y= 2x+6

Answer 1

Answer:y=-2x+6

Explanation:

Let
`m_(1)` be the slope of the given line and
`m_(2)` be the slope of the new line.

given,
`m_(1)=(1)/(2)`.

Since,the given line and the new line are perpendicular,

`m_(1)m_(2)=-1`

So,
`m_(2)=-2`

It is given that the new line passes through x-intercept of the given line.

The x-intercept of the given line is
`(-3,0)`

The equation of the line passing through
`(x_(1),y_(1))` and slope
`m` is
`y-y_(1)=m(x-x_(1))`

So,the line is
`y-0=-2(x+3)`

`y=-2x-6`