Question

What is the slope of a line perpendicular to line A?

Answer 1

-7/4

Explanation:

Line A is the blue one.

I see two points they have identified for me:

(-7,0) and (0,4).

To find the slope of the line A given two points we could use the slope formula
`(y_2-y_1)/(x_2-x_1)`.

We could also line up the points vertically and subtract, then put 2nd difference over 1st difference.

Like this:

(-7,0)

-(0,4)

-------

-7 -4

So the slope is -4/-7=4/7

So the slope of a line that is perpendicular will have opposite reciprocal slope. That is the opposite reciprocal of 4/7 is -7/4.

Therefore the slope of a line that is perpendicular to A will have slope -7/4.

Answer 2

`- (7)/(4)`

Explanation:

We use the slope formula to fine the slope of line A.

`m = (y_2-y_1)/(x_2-x_1)`

Line A passes through (-7,0) and (0,4)

`m = (4 - 0)/(0 - - 7)`

`m = (4)/(7)`

The slope of a line that is perpendicular to line A is the negative reciprocal of the slope of line A

`- (7)/(4)`