Question

What is the slope and intercept of `y+5=2/3x`?

Answer 1

The slope is `color(red)(m = 2/3)`

The y-intercept is `color(blue)(b = -5)`

Explanation:

We can find the slope and y-intercept by transforming 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.

Solving for `y` gives:

`y + 5 - color(blue)(5) = 2/3x - color(blue)(5)`

`y + 0 = 2/3x - color(blue)(5)`

`y = color(red)(2/3)x - color(blue)(5)`

Therefore:

The slope is `color(red)(m = 2/3)`

The y-intercept is `color(blue)(b = -5)`