# What is the equation of the line between #(0,0)# and #(25,-10)#?

##### 1 Answer

This answer will show you how to determine the slope of a line, and how to determine the point-slope, slope-intercept, and standard forms of a linear equation.

#### Explanation:

**Slope**

First determine the slope using the formula:

where:

Plug in the known data. I am going to use

Simplify.

Reduce by dividing the numerator and denominator by

The slope is

**Point-slope form**

The formula for the point-slope form of a line is:

where:

**Slope-intercept form**

Now we can determine the slope-intercept form:

where:

Solve the point-slope form for

**Standard form**

We can convert the slope-intercept form into the standard form for a linear equation:

where:

Eliminate the fraction by multiplying both sides by

Add

graph{y=-2/5x [-10, 10, -5, 5]}