Slope Intercept and Lines

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 of a line represent?

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 of a line represent?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Find the equation of the line with a slope of 1 and a y-intercept of 4.

Back

y = x + 4

Front

An airplane descends at a rate of 2,000 feet per minute from 30,000 feet. Write the equation in slope-intercept form.

Back

y = -2,000x + 30,000

Front

What is the cost equation for a dance club with a $30 startup fee and $4 monthly fee?

Back

y = 4x + 30

Front

In the equation y = 4x + 30, what is the 'b' value?

Back

The 'b' value is $30, representing the startup fee.

Front

What is the equation of a line with a slope of 2 and a y-intercept of -5?

Back

y = 2x - 5

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant.