# Using Slope Intercept Form to Solve Word Problems

## What is Slope Intercept Form?

Slope intercept form is an equation of a line in the form y=mx+b, where m is the slope, and b is the y-intercept. It is used to easily graph a line, identify the slope and y-intercept of the line, and write an equation for the line.

## Solving Word Problems with Slope Intercept Form

Word problems can be solved using slope intercept form. To solve a word problem using slope intercept form, first identify the slope, which can be found by looking for two points given in the problem. Next, identify the y-intercept, which is the point the line passes through on the y-axis. Finally, use the slope and y-intercept to write the equation of the line in slope intercept form.

## Examples of Slope Intercept Form Word Problems

Here are some examples of word problems that can be solved using slope intercept form:

• A line passes through the points (3,2) and (7,5). What is the equation of the line in slope intercept form?
• The equation of a line is y = 4x – 1. What is the slope and y-intercept of the line?
• A line passes through the point (2,7) and has a slope of 3. What is the equation of the line in slope intercept form?

## Slope Intercept Form Word Problems Worksheet Answer Key

The answers to the above examples are as follows:

• The equation of the line in slope intercept form is y = 2x + (-1).
• The slope of the line is 4 and the y-intercept is -1.
• The equation of the line in slope intercept form is y = 3x + 5.

## Conclusion

Slope intercept form is a great tool for solving word problems. By identifying the slope and y-intercept of the line, one can easily write the equation of the line in slope intercept form. A worksheet of slope intercept form word problems and the answer key is provided to help students practice this skill.