Proportional Relationships/Slope

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Tags

CCSS.7.RP.A.2A

Front

What does slope represent in a graph?

Back

Slope represents the rate of change of a line, indicating how much the y-value changes for a given change in the x-value.

Tags

CCSS.8.EE.B.5

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that rises from left to right?

Back

The slope is positive.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that falls from left to right?

Back

The slope is negative.

Tags

CCSS.8.EE.B.5

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Tags

CCSS.8.EE.B.5

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

The slope is 3.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3