How do you find the slope and y-intercept for the line #y=3x+2#?

2 Answers
Sep 24, 2015

Y intercept #=2#
Slope #=3#


It is a straight line equation in standard form or slope, intercept form.
In such case

The coefficient of independent variable #x# is slope.
It is 3.

The constant term is y-intercept. It is 2.

Sep 24, 2015

Slope = 3
y-intercept = 2


The formula for a linear equation is #y = mx + c#, where

m determines the gradient, or the slope, and

c is the constant, and determines the y-intercept.

In this case, the digit besides the #x# is 3. This means that for every #x#, #y# will increase by 3.

If you are familiar with Cartesian planes, you can imagine that when you move to the right one step, you will also move up by 3 steps. This is the slope of the line.

The y-intercept is kind of like the starting point, it's where y 'rests' when x is equal to 0.

Hope this helps!