Question

Write the equation of line than passes through the point (-3, 2) and has undefined slope.

Write the equation of line than passes through the point (-4, 9) and has zero slope.

someone be smart and answer this

Answer 1

a) x = -3

b) y = 9

Explanation:

a) For a line to have and undefined slope, it must be horizontal, because the change in y would be 1, and the change in x will be 0. To find slope, you must divide the change in y by the change in x, and that would be 1/0 which is undefined because you can't divide by 0.

So if you were to graph a horizontal line going through ( -3, 2 ), you would see that there is no slope because the change in y over the change in x is 1/0 which is undefined.

This line would be x=-3

b) For a line to have slope 0, it must be vertical because the change in y would be 0, and the change in x would be 1. Just like in a), to find slope, you must divide the change in y by the change in x, and that would be 0/1 which is 0

For a line to pass through ( -4,9 ) it must be horizontal and you can see that the change in y over the change in x would be 0/1 which is 0, after graphing it.

This line is x = 9