Interpreting Linear Graphs

Front

What is the equation of a linear graph?

Back

A linear graph can be represented 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

What does the slope of a linear graph represent?

Back

The slope represents the rate of change of y with respect to x. It indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope from 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 of a linear graph?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

What does a negative slope indicate about a linear graph?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a linear graph?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Tags

CCSS.8.EE.B.5

Front

If the equation of a line is y = -1/25x + 15, what is the slope?

Back

The slope is -1/25.

Tags

CCSS.8.EE.B.5

Front

If the equation of a line is y = -1/25x + 15, what is the y-intercept?

Back

The y-intercept is 15.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the y-intercept represent in a real-world context?

Back

The y-intercept represents the starting value of the dependent variable when the independent variable is zero.

Tags

CCSS.HSF.LE.B.5

Front

How can you identify the y-intercept from a graph?

Back

The y-intercept can be identified as the point where the line crosses the y-axis.