# How do you write an equation in standard form if the line passes through (3,7) and (0, -2)?

##### 1 Answer

#### Explanation:

We have the value of two points,

First, let's find the slope of this line. The formula for slope is

Since we have the values of two points, we can plug them into the formula:

Simplify:

The negatives cancel out and we simplify it:

Now we can write the equation in point-slope form, shown here:

To convert to standard form, we first have to convert from point-slope to slope-intercept form, shown here:

So let's simplify:

Add

It is now in slope-intercept form.

Now let's convert this to standard form, by making the

Add

Subtract

Switch sides to put in exact standard form:

As you can see, it is now in standard form.

For more information on writing an equation in standard form from two points, feel free to watch these videos:

Short video:

Longer video:

Hope this helps!