# How do you find the slope and y intercept to sketch #y=3x -1#?

##### 1 Answer

For the line

#### Explanation:

Slope intercept form

In slope intercept form,

In this case,

To graph this line, plot the y-intercept we just found by going one unit down from the origin along the y-axis. Then use the slope to graph a few more points. The slope is *up* and 1 unit to the *right* from your y-intercept, or

A positive slope means your points will be [numerator of slope] units up and [denominator of slope] units right, *OR* [numerator of slope] units down and [denominator of slope] units left. These two methods for positive slopes work because a positive divided by a positive is a positive, and a negative divided by a negative is also a positive.

Using this reasoning, we can plot another point in the opposite direction by going 3 units *down* and 1 unit to the *left* of the y-intercept, which would be

graph{3x-1 [-10, 10, -5, 5]}