Linear Relationships

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

Tags

CCSS.HSF-LE.A.1B

Front

What does 'm' represent in the equation y=mx+b?

Back

The slope of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in the equation y=mx+b?

Back

The y-intercept is the value of y when x=0, represented by 'b' in the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

The line is horizontal and does not rise or fall.

Tags

CCSS.8.EE.B.5

Front

If a line has an undefined slope, what does that mean?

Back

The line is vertical and does not have a defined slope.

Tags

CCSS.8.EE.B.5

Front

What does it mean if two lines are parallel?

Back

They have the same slope and will never intersect.

Tags

CCSS.8.EE.B.5

Front

What does it mean if two lines are perpendicular?

Back

Their slopes are negative reciprocals of each other (m1 * m2 = -1).

Tags

CCSS.8.EE.B.6

Front

True or False: The slope of a line changes at different points on the line.

Back

False. The slope remains constant along a straight line.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line that passes through the points (3, 2) and (7, 6)?

Back

Slope (m) = (6 - 2) / (7 - 3) = 4 / 4 = 1.

Tags

CCSS.8.EE.B.5