Chapter 5 Review

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation 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

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning their slopes are negative reciprocals.

Tags

CCSS.8.EE.B.6

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line and may include curves or other shapes.

Tags

CCSS.8.F.A.3

Front

Given the slope 2/3 and y-intercept -3, what is the equation of the line?

Back

y = 2/3x - 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How can you determine if a table of values represents a linear function?

Back

If the differences between consecutive y-values divided by the differences between consecutive x-values are constant, the function is linear.

Tags

CCSS.HSF-LE.A.1B

Front

What is the equation of a line with a slope of -2 and a y-intercept of 5?

Back

y = -2x + 5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does it mean for two lines to have the same slope?

Back

Two lines with the same slope are parallel and will never intersect.

Tags

CCSS.8.EE.B.5