Slope & Graphing with Intercepts

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (vertical change) divided by the change in x (horizontal change).

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope between 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 the y-intercept represent in a graph?

Back

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

Front

What does the x-intercept represent in a graph?

Back

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

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

The slope is 2.

Tags

CCSS.8.EE.B.5

Front

Find the slope of the line that passes through the points (1, 3) and (4, 9).

Back

The slope is 2.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

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, meaning the line falls from left to right.

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 remains constant regardless of x.

Tags

CCSS.8.EE.B.5

Front

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

Back

An undefined slope means the line is vertical, indicating that x remains constant regardless of y.

Tags

CCSS.8.EE.B.5