Forms of Linear Functions

Front

What are the x- and y-intercepts of the equation 5x - 3y = 15?

Back

(3, 0) and (0, -5)

Tags

CCSS.HSF-IF.C.7A

Front

What is the slope of the line represented by the equation y = (2/3)x + b?

Back

m = 2/3

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation 6x - y = 9?

Back

m = 6

Tags

CCSS.8.EE.B.5

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

(8, 0)

Tags

CCSS.HSF-IF.C.7A

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

What does the slope of a line represent?

Back

The rate of change of y with respect to x.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the equation 2x + 4y = 12?

Back

(0, 3) after rearranging to y = -1/2x + 3.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you convert the equation 2x + 4y = 12 to slope-intercept form?

Back

y = -1/2x + 3.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

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

Back

It indicates how steep a line is, representing rates such as speed or cost per unit.

Tags

CCSS.8.EE.B.5