Slope Word Problem

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope in a word problem?

Back

The slope represents the rate of change, which can be found by identifying how much one quantity changes in relation to another.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the situation described.

Front

Write the equation for a job that pays $15 per hour starting with $20.

Back

y = 15x + 20

Front

Write the equation for making tacos at a rate of 3 tacos per minute starting with 8 tacos made.

Back

y = 3x + 8

Front

Using the equation h = -3.8s + 290, what is the height after 14 seconds?

Back

236.8

Front

Write the equation for a bike rental that costs $4 plus $1.50 per hour.

Back

y = 1.50x + 4

Front

How do you calculate the average rate of change?

Back

The average rate of change is calculated by (change in y) / (change in x).

Front

If a climber is at 400 feet after 2 hours and 700 feet after 6 hours, what is the average rate of change?

Back

75 feet per hour.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.