# What is the equation of the line that has a slope of 4 and goes through #(1,9)#?

##### 2 Answers

#### Explanation:

When you are given the slope and a set of points, you use point slope form, which is:

Where

So, plug in your numbers

Distribute the

Begin to isolate y by adding

The equation in point-slope form is

#### Explanation:

Use the point-slope form of a linear equation, which is

where m is the slope of the line and

If the answer needs to be in slope-intercept form, solve the equation for

If the answer needs to be in standard form, continue using inverse operations to take the equation from slope-intercept form to standard form.