Question

What is the y intercept of `y-9x=17`?

Answer 1

The y-intercept is 17.

Explanation:

We can find the y-intercept by solving for `y` and putting this equation into the slope-intercept form.

The slope-intercept form of a linear equation is:

`y = color(red)(m)x + color(blue)(b)`

Where `color(red)(m)` is the slope and `color(blue)(b` is the y-intercept value.

`y - 9x + color(red)(9x) = color(red)(9x) + 17`

`y - 0 = 9x + 17`

`y = 9x + 17`

This is now in the slope-intercept form:

`y = color(red)(9)x + color(blue)(17)`

Where `color(red)(9)` is the slope and `color(blue)(17)` is the y-intercept value.