Finding the Linear Function from Two Points on a Graph

Question:
A parking garage charges a base fee plus an hourly rate. After 2 hours, the total charge is 16 dollars. After 5 hours, the total charge is 31 dollars. Write a linear function f of h that represents the total cost in dollars as a function of hours parked h. Then identify the base fee and the hourly rate.

Finding the Linear Function from Two Points on a Graph

This lesson shows how to build a linear function from two data points using slope-intercept form. Students find the slope and y-intercept from a real-world context, write the function, and verify it against the original data.

In this lesson, you will learn to:
• Calculate the slope of a linear function using two given points
• Determine the y-intercept by substituting the slope and a known point into slope-intercept form
• Write and interpret a linear function f(h) = mh + b in a real-world context
• Verify a linear functi