Question

How do you find m and b given `-3x+y=6`?

Answer 1

Solve for `y` to put in slope-intercept form:

Explanation:

To find `m` and `b` solve for `y` to put this equation in slope intercept form.

`color(red)(3x) - 3x + y = color(red)(3x) + 6`

`0 + y = color(red)(3x) + 6`

`y = 3x + 6`

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 = color(red)(3)x + color(blue)(6)`

The slope is `color(red)(m = 3)`

The y-intercept is `color(blue)(b = 6)` or (0, 6)