Slope Intercept Form Applications

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

If a plant is growing at a rate of 3cm per month, what is the slope of the growth equation?

Back

The slope of the growth equation is 3.

Front

If a plant starts at a height of 5cm, what is the y-intercept of its growth equation?

Back

The y-intercept of the growth equation is 5.

Front

Write the equation for a plant that is 5cm tall and grows 3cm each month using h for height and m for months.

Back

h = 3m + 5.

Front

In the equation c = 25.5 + 8.5h, what does c represent?

Back

c represents the total cost of renting a car for h hours.

Front

In the equation t = -3m + 20, what does t represent?

Back

t represents the total remaining amount on the iTunes gift card after m months.

Front

What is the constant term in the equation c = 25.5 + 8.5h?

Back

The constant term is 25.5, which is the initial rental fee.

Front

If the cost of bowling is $15 for shoe rentals plus $4 per game, what is the fixed cost?

Back

The fixed cost is $15 for shoe rentals.