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.

3.  Admission to a theme park is $32 per person. The park will open early for groups of thirty or more for an additional charge. A group of 50 students is charged $1665 for admission. Write a linear equation that the park can use to determine the amount of admission it should charge for any large group.

Answer Key

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