11 Slope-Intercept Form and Intercepts

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.EE.B.6

CCSS.8.F.A.3

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the x-intercept of the equation 3x + 6y = 24?

Back

The x-intercept is (8, 0).

Front

Which ordered pair represents the x-intercept of a function?

Back

The ordered pair (4, 0) represents the x-intercept.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent speed, cost per item, or any rate of change in real-world scenarios.

Tags

CCSS.8.EE.B.5

Front

How can you graph a linear equation in slope-intercept form?

Back

Start at the y-intercept (0, b) on the y-axis, then use the slope (rise/run) to find another point.

Front

What is the relationship between parallel lines and their slopes?

Back

Parallel lines have the same slope but different y-intercepts.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between perpendicular lines and their slopes?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.

Tags

CCSS.8.EE.B.6