Write the slope-intercept form of the equation of the line through the given point with the given slope.

Question

Through:(0,-2),slope=undefined

Answer 1

A vertical line has an undefined slope, while a horizontal lines has a slope of zero. If you think about a zero slope as walking across a flat street, then a vertical line might imply that you would have to walk straight up into the air, which is impossible (slope is undefined).

So we write the equation of a line with an undefined slope as y= a number.

For your problem, we would say y= 0 as the equation of the line (or the y coordinate of your point).

This is also the equation for the y axis on a coordinate plane.

Answer 2

These are tricky, buuuuut I bet you can figure it out. What kind of line has an undefined slope? What would the line that passes through your point look like. What, then, is the equation of that line?

Hint: the info you need is all given to you.