Interpreting Linear Graphs

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. In the equation y = mx + b, b represents the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line measures its steepness and direction. It is calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

Front

What does a slope of 1/2 indicate?

Back

A slope of 1/2 indicates that for every 2 units you move horizontally to the right, the line rises 1 unit vertically.

Tags

CCSS.8.EE.B.5

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in 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

How do you find the slope from two points?

Back

To find the slope from two points (x1, y1) and (x2, y2), use the formula: slope = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does the slope represent in a real-world context?

Back

In a real-world context, the slope represents the rate of change between two variables. For example, it can indicate cost per item or speed.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept indicates the value of y when x is zero, providing a starting point for the line on the graph.

Front

How can you determine the equation of a line from a graph?

Back

To determine the equation of a line from a graph, identify the slope and the y-intercept, then use the slope-intercept form y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does a negative slope indicate?

Back

A negative slope indicates that as one variable increases, the other variable decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5

Front

What is the formula for calculating the y-intercept from a slope and a point?

Back

To calculate the y-intercept (b) from a slope (m) and a point (x, y), use the formula: b = y - mx.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3