# How do you find a standard form equation for the line with (-2,2) and (0,5)?

##### 1 Answer

The standard form of the equation for the given line:

#### Explanation:

One way to do this is to find the slope-intercept form of the equation, and then turn that into standard form.

Another way is to use the point-slope form and turn that into standard form.

**Using the slope-intercept form of the equation**

**1) First find slope**

slope

Let

But you can make either point be

I just picked that one because I thought it looked easier to subtract.

Sub in the given values for the variables in the formula

So far, you can write the partial slope intercept formula as

~ ~ ~ ~ ~ ~ ~ ~ ~

**2) Now find b**

The formula has 4 unknowns, but you already know 3 of them

NOTE: *You can tell that #5# is the #y# intercept because the point #(0,5)# is the point where #x# is zero. *

This is the place where the line crosses the y axis.

But if you didn't see that, here is how to calculate

Sub in the values into the formula and solve for

**3) Now you can write the whole equation**

**~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~**

The question wants this equation expressed in standard form.

Standard form is

where a is a positive whole integer

Start with the slope intercept form.

**4) Now put the formula in standard form.**

1) Clear the fraction by multiplying every term on both sides by

2) Subtract

3) Subtract

**standard form**