Writing Linear Equations
Given Slope and a Point

When you are given a real world problem that must be solved, you could be given numerous aspects of the equation. If you are given slope and the y-intercept, then you have it made!

You have all the information you need, and you can create your graph or write an equation easily.

You may be given slope and a point (not necessarily the y-intercept). This then becomes a little trickier to write an equation, because although you have the slope, you need the y-intercept.

You have enough information to find the y-intercept, but it requires a few more steps! Let's look at an example.

Example 1

Great! Now let's look at a real world applications of this skill!

Example 2

Ok, so if you are given slope and a point, then you need to substitute for m (slope), x, and y and then solve for b! Once you have m (slope) and b (y-intercept), you can write an equation in slope intercept form! Ready to practice?

Writing Linear Equations Given Slope and a Point Practice

1.  Write an equation for the line that passes through the point (1,4) with a slope of 3.

2.  Write an equation for the line that passes through the point (-2,-3) with a slope of 1/2.

Answer Key

Great job! You only have one lesson left in this unit!

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