Writing Algebra Equations
Finding the Equation of a Line Given Two Points

We have written the equation of a line in slope intercept form and standard form. We have also written the equation of a line when given slope and a point. Now we are going to take it one step further and write the equation of a line when we are only given two points that are on that line.

This type of problem requires three steps. We must first use our information to find the slope and then use the slope and a point to find the y-intercept. REMEMBER: If I know the slope and y-intercept, then I can write an equation in slope intercept form. Once the equation is in slope intercept form, I can rewrite it in standard form if I need to!

Let's look at an example.

Example 1

Ok, now let's apply this skill to solve real world problems!

Writing Algebra Equations
Real World Problems

Practice Problem

Directions: Write an equation for the line that passes through the following points:

1. (5, -2) (4,-4)

Let's check your answers!

Answer Key

Great Job! You've just completed the unit on Writing Equations! I hope that you feel more comfortable writing algebra equations, especially those for real world problems! If not, check out the Algebra Class E-course. Our next unit is Systems of Equations!

Return from Writing Algebra Equations Given Two Points to Home