Unit 3 Lessons 1-5 Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the ratio of the rise (change in y) to the run (change in x).

Front

Calculate the slope between the points (2, 3) and (6, 7).

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1) = (7 - 3) / (6 - 2) = 4/4 = 1.

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is a constant value that relates two proportional quantities. It is found in equations of the form y = kx.

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is k = 5.

Front

Identify the constant of proportionality in the equation y = 2.5x.

Back

The constant of proportionality is k = 2.5.

Front

What does it mean if the constant of proportionality is undefined?

Back

An undefined constant of proportionality indicates that the relationship between the variables does not maintain a constant ratio, often due to a vertical line in a graph.

Front

What is the slope of the line represented by the equation y = -rac{5}{2}x + 3?

Back

The slope of the line is m = -rac{5}{2}.

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then use the formula m = rise/run.

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

If the slope of a line is rac{4}{5}, what does this indicate about the line's steepness?

Back

A slope of rac{4}{5} indicates that for every 5 units moved horizontally, the line rises 4 units vertically, showing a positive slope.