Identify Slope and Y-Intercept from Graphs

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Tags

CCSS.8.EE.B.5

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, y).

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, showing a direct relationship.

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, showing an inverse relationship.

Tags

CCSS.8.EE.B.5

Front

How can you determine the slope from two points on a line?

Back

The slope can be determined using the formula: slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope-intercept form 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

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept represents the value of y when x is zero, indicating where the line crosses the y-axis.

Front

How can you find the y-intercept from the slope-intercept form of a linear equation?

Back

In the slope-intercept form y = mx + b, the y-intercept is the value of b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does it mean if a line is horizontal in terms of slope?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does it mean if a line is vertical in terms of slope?

Back

A vertical line has an undefined slope because the change in x is zero, leading to division by zero.

Tags

CCSS.8.EE.B.5