Slope Intercept Form 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

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

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

Front

How do you identify the slope from the equation y = 12.5x + 30?

Back

The slope is 12.5, indicating that for every increase of 1 in x, y increases by 12.5.

Front

How do you identify the y-intercept from the equation y = 1.50x + 4?

Back

The y-intercept is 4, meaning the line crosses the y-axis at the point (0, 4).

Front

Write the slope-intercept form for a situation where a meal costs $12.50 per person plus a $30 delivery fee.

Back

y = 12.5x + 30.

Front

Write the slope-intercept form for a bike rental that costs $4 plus $1.50 per hour.

Back

y = 1.50x + 4.

Front

Write the equation for Nicholas who spends $20 per day from a $100 gift.

Back

y = -20x + 100.

Front

Write the equation for a tree that grows 1 inch every month starting at 18 inches tall.

Back

y = x + 18.

Front

Write the equation for an online learning community with a $20 startup fee and $5 monthly fee.

Back

y = 5x + 20.