3-1 to 3-4

Front

What type of line has an undefined slope?

Back

A vertical line has an undefined slope.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the general form of the equation of a line with slope m and y-intercept b?

Back

The equation is y = mx + b.

Front

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

Back

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

Front

What does it mean for two quantities to be directly proportional?

Back

Two quantities are directly proportional if they increase or decrease at the same rate, represented by the equation y = kx, where k is a constant.

Front

If Shawn earns $123 for 20 hours of work, how do you find his hourly wage?

Back

Divide the total pay by the number of hours: $123 / 20 hours = $6.15 per hour.

Front

What is the equation of variation for a directly proportional relationship?

Back

The equation of variation is y = kx, where k is the constant of proportionality.

Front

If y varies directly with x and y = 84 when x = 16, how do you find the constant of variation k?

Back

k can be found by rearranging the equation: k = y / x = 84 / 16 = 5.25.

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 is the significance of the y-intercept in a linear equation?

Back

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