# How do you write an equation of a line given (-5,9) and (-4,7)?

##### 2 Answers

**The equation of the line in standard form is**

#### Explanation:

The slope of the line passing through

Let the equation of the line in slope-intercept form be

The point (-5,9) will satisfy the equation . So,

Hence the equation of the line in slope-intercept form is

The equation of the line in standard form is

Given two points

the slope can be calculated as

and

once we have a slope,

we can write an equation for the line in slope-point form as either

or

Using

and

an equation for this line can be written as

While this is a completely valid answer, we would normally simplify this and (perhaps) re-write it in "standard" form:

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It would be a good idea to verify that this equation is valid for the two given points, so: