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).

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.7.RP.A.2B

Front

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

Back

The constant of proportionality is k = 5.

Tags

CCSS.7.RP.A.2B

Front

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

Back

The constant of proportionality is k = 2.5.

Tags

CCSS.7.RP.A.2B

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.

Tags

CCSS.HSF-LE.A.1B

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}.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

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.

Tags

CCSS.8.EE.B.5