Question

What is the slope and intercept of `y+2.5=5.5x`?

Answer 1

See the entire solution process below:

Explanation:

The easiest way to find the slope and y-intercept is to put this equation into slope-intercept form by solving for `y`. 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 + 2.5 - color(red)(2.5) = 5.5x - color(red)(2.5)`

`y + 0 = 5.5x - 2.5`

`y = color(red)(5.5)x - color(blue)(2.5)`

Therefore:

The slope is: `color(red)(m = 5.5)`

The y-intercept is: `color(blue)(b = -2.5)` or `(0, -2.5)`