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

How do you identify the slope in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x. It indicates how much y increases or decreases as x increases by 1.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x is 0. It represents the starting point of the line on the y-axis.

Front

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

Back

y = 15x + 20

Front

Write the equation for a car that starts with 14 gallons of gas and uses 2 gallons per hour.

Back

y = 14 - 2x

Front

Write the equation for making 20 sandwiches, with friends eating 5 sandwiches per hour.

Back

y = 20 - 5x

Front

Write the equation for an auto wash that earns $9 per customer.

Back

y = 9x

Front

Write the equation for spending $20 per day from a birthday gift of $100.

Back

y = -20x + 100

Front

What is the meaning of 'x' in the context of slope-intercept word problems?

Back

In these problems, 'x' typically represents the independent variable, such as time or quantity.

Front

What is the meaning of 'y' in the context of slope-intercept word problems?

Back

In these problems, 'y' typically represents the dependent variable, such as total earnings or remaining quantity.