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 equation y = 2x - 10?

Back

2

Tags

CCSS.8.EE.B.5

Front

What is the slope (m) if m = 4?

Back

m = 4

Tags

CCSS.8.EE.B.5

Front

If m = 3 and b = 6, what is the slope-intercept equation?

Back

y = 3x + 6

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Which equation has a y-intercept of 3?

Back

y = 2x + 3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Define a linear function.

Back

A linear function is a function that graphs to a straight line, defined by the equation y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

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

Back

The slope represents the rate of change of the function; it indicates how much y changes for a unit change in x.

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 value of y when x = 0; it is the point where the line crosses the y-axis.

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 general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.