Finding Slope and y-intercept From a Graph

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented by the letter 'm'. It is calculated as the ratio of the rise (change in y) to the run (change in x).

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope (m) can be found using the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value 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 the x-value increases, the y-value decreases, meaning the line falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the coordinate (0, b), where b is the y-intercept value.

Front

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

Back

To find the y-intercept from a graph, look for the point where the line intersects the y-axis.

Front

What is the formula for the slope-intercept form of a line?

Back

The slope-intercept form of a line is given 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

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

Back

A slope of 0 means the line is horizontal, indicating that there is no change in y as x changes.

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 there is no change in x as y changes.

Tags

CCSS.8.EE.B.5

Front

What is the rise in the context of slope?

Back

The rise refers to the vertical change between two points on a line, calculated as the difference in their y-coordinates.

Tags

CCSS.8.EE.B.5