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

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Answer 1 · 2016-12-30T16:49:14

The y-intercept is 17.

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.

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