# How do you write an equation in standard form for a line passing through (5,22) and (3,12)?

##### 2 Answers

Use the points to write the equation in slope-intercept form.

Then write that equation in standard form.

Standard form for these points is

#### Explanation:

To write an equation in standard form when you have two points, first write the equation in slope-intercept form.

**First find #m#, the slope**

Slope =

1) Decide which point will be

Assign

Assign

You can choose either point to be

2) Sub in the values for the variables

3) Do the subtractions to find the slope

4) So now the equation so far is

**Next find #b#, the y intercept**

1) Using either given point, sub in the values for

2) Clear the parentheses

3) Subtract

So the equation in point-slope form is

**Now put the equation in standard form**

where

1) Subtract

2) Multiply through by

#### Explanation:

Gradient (slope) is:

Method

Step 1: determine

Step 2: use one of the given points to substitute values for

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Always read left to right on the x-axis for this:

Set the left most point as

Set the rightmost point as

Set the gradient (slope) as

But

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Using

Cross multiply giving: