Question

What is the slope-intercept form of this equation 3x + 9y = 18?

Answer 1

See the entire solution process below:

Explanation:

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.

Therefore we must solve this equation for `y`:

`3x + 9y = 18`

`-color(red)(3x) + 3x + 9y = -color(red)(3x) + 18`

`0 + 9y = -3x + 18`

`9y = -3x + 18`

`(9y)/color(red)(9) = (-3x + 18)/color(red)(9)`

`(color(red)(cancel(color(black)(9)))y)/cancel(color(red)(9)) = (-3x)/color(red)(9) + (18)/color(red)(9)`

`y = color(red)(-1/3)x + color(blue)(2)`