Slope Intercept Word Problems

Front

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

Back

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

Front

Define slope in the context of a linear equation.

Back

Slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise over run).

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

Write the equation for a situation where a person charges a flat fee plus a variable rate per hour.

Back

y = b + mx, where b is the flat fee, m is the rate per hour, and x is the number of hours.

Front

If a person charges $5 for gas and $15 per hour, what is the equation for total charges?

Back

y = 15x + 5.

Front

How do you represent a situation where a fixed number of items is produced plus additional items based on a variable input?

Back

y = x + c, where c is the fixed number of items produced.

Front

Write the equation for a situation where a baker has already baked 4 cakes and can bake 1 additional cake for each stick of butter bought.

Back

y = x + 4.

Front

If Neo cycles 5 kilometers for each trip to work, how would you express the total distance cycled?

Back

y = 5x.

Front

What is the equation for a runner who runs a fixed distance during each practice?

Back

y = mx, where m is the distance run per practice.

Front

Write the equation for a situation where a person starts with a certain number of items and loses a fixed number over time.

Back

y = c - mx, where c is the starting number and m is the number lost per time unit.