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

Front

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

Back

y = 5x + 20

Front

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

Back

y = 1.50x + 4

Front

How do you find the slope from the equation y = 2/3x + 6?

Back

The slope is 2/3.

Front

What is the y-intercept of the equation y = -2,000x + 30,000?

Back

The y-intercept is 30,000.

Front

If a line has a slope of -2,000, what does this indicate about its direction?

Back

It indicates that the line is descending.

Front

How do you convert a situation into slope-intercept form?

Back

Identify the fixed cost (y-intercept) and the variable cost per unit (slope), then write the equation.

Front

What is the slope of the line represented by the equation y = 5x - 20?

Back

The slope is 5.