Slope Intercept Form

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

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) represents the value of y when x is 0, indicating where the line crosses the y-axis.

Front

How do you identify the slope from the equation y = 1/3x - 2?

Back

The slope is 1/3.

Front

How do you identify the y-intercept from the equation y = 1/3x - 2?

Back

The y-intercept is -2.

Front

Write the equation in slope-intercept form for a plumber charging $25 for a service call plus $50 per hour of service.

Back

C = 50h + 25.

Front

What does the y-intercept represent in the equation y = 1.5x + 20?

Back

The y-intercept represents the entrance fee, which is $20.

Front

Write the equation in slope-intercept form for a community with a $20 startup fee and a $5 monthly fee.

Back

y = 5x + 20.

Front

Write the equation representing the cost of renting a canoe for x hours with a $20 transportation fee and $30 per hour.

Back

y = 30x + 20.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line descends from left to right.