Unit 3 Catch Up - Pfeiffer

Front

What is the formula to find the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula: m = \frac{y_2 - y_1}{x_2 - x_1}.

Front

Calculate the slope between the points (2,9) and (4,5).

Back

Using the formula: m = \frac{5 - 9}{4 - 2} = \frac{-4}{2} = -2.

Front

What is the constant of proportionality in a table?

Back

The constant of proportionality is the ratio \frac{y}{x} that remains constant for all pairs of (x, y) in a proportional relationship.

Front

If y = 0.2x, what is the constant of proportionality?

Back

The constant of proportionality is 0.2.

Front

Write the slope-intercept form of a line with slope -2 and y-intercept 140.

Back

The slope-intercept form is y = -2x + 140.

Front

What does the slope-intercept form of a linear equation look like?

Back

The slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

Write a linear equation in y=mx+b form for a line with slope -2 and y-intercept 82.

Back

The equation is y = -2x + 82.

Front

What is the slope of a line if it rises 10 units for every 1 unit it runs?

Back

The slope is 10.

Front

If a line has a slope of \frac{1}{2}, what does this indicate about the line's steepness?

Back

A slope of \frac{1}{2} indicates that for every 2 units run horizontally, the line rises 1 unit vertically.

Front

What is the significance of the slope in a linear equation?

Back

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