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.