Question

What is the slope and y-intercept of the line `y=3x+2`?

Answer 1

The slope is `3` and the y-intercept is `2` or (0, 2).

See full explanation 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.

Because the equation in the problem is already in slope intercept form we can directly extract the slope and the y-intercept:

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

Therefore:

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

The y-intercept is `color(blue)(b = 2)` or (0, 2)