Chapter 5 - Linear Functions

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

How do you find 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 the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a linear function?

Back

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

Front

Convert the equation 2x - y = -1 to slope-intercept form.

Back

y = 2x + 1.

Front

What is the y-intercept of the equation y = -3x + 7?

Back

The y-intercept is 7.

Front

If a line has a slope of 3/2, what does this indicate about the line's steepness?

Back

A slope of 3/2 indicates that for every 2 units moved horizontally, the line rises 3 units vertically.

Front

How do you graph the equation y = 2/3x - 3?

Back

Start at the y-intercept (-3) on the y-axis, then use the slope (2/3) to find another point.

Front

What is the significance of the slope being negative?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Front

What is the formula to find the y-intercept from the slope-intercept form?

Back

In the slope-intercept form y = mx + b, b is the y-intercept.