Linear Relationships Review

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 y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is 0, indicating the starting point of the line on the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is a proportional relationship?

Back

A proportional relationship is one where the ratio of y to x is constant, and it can be represented by the equation y = kx, where k is a constant.

Tags

CCSS.7.RP.A.2D

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change; for example, in a distance-time graph, it indicates speed.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating that y does not change as x changes.

Tags

CCSS.8.EE.B.5

Front

What is the equation of a line with a slope of 3 and a y-intercept of 2?

Back

The equation is y = 3x + 2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you determine if a line is increasing or decreasing?

Back

If the slope is positive, the line is increasing; if the slope is negative, the line is decreasing.

Tags

CCSS.8.EE.B.5

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Tags

CCSS.8.EE.B.6