slope and standard intercept

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 is the Standard Form of a linear equation?

Back

The Standard Form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

Identify the slope in the equation y = 2x + 3.

Back

The slope (m) is 2.

Tags

CCSS.8.EE.B.5

Front

Identify the y-intercept in the equation y = -4x + 1.

Back

The y-intercept (b) is 1.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What are the x- and y-intercepts of the equation 2x + 3y = 6?

Back

The x-intercept is (3, 0) and the y-intercept is (0, 2).

Front

Convert the equation y = 5x - 7 to Standard Form.

Back

The Standard Form is 5x - y = 7.

Front

What does the slope of a line represent?

Back

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

Tags

CCSS.8.EE.B.5

Front

How do you find the y-intercept from the equation 4x + 2y = 8?

Back

Set x = 0: 2y = 8, so y = 4. The y-intercept is (0, 4).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the significance of the x-intercept?

Back

The x-intercept is the point where the line crosses the x-axis, indicating where y = 0.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Tags

CCSS.8.EE.B.5