Identifying Slope and Y-intercept

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented by the ratio of the rise (change in y) over the run (change in x).

Tags

CCSS.8.EE.B.5

Front

How can you identify the y-intercept from a linear equation in slope-intercept form?

Back

The y-intercept can be identified as the constant term in the equation of the form y = mx + b, where b is the y-intercept.

Front

In the equation y = 2x + 6, what does the number 2 represent?

Back

The number 2 represents the slope of the line.

Tags

CCSS.HSF.LE.B.5

Front

In the equation y = 2x + 6, what does the number 6 represent?

Back

The number 6 represents the y-intercept of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope of the line is -3.

Tags

CCSS.8.EE.B.5

Front

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

Back

The y-intercept is found at the point where the line crosses the y-axis.

Front

What is the coordinate pair for the y-intercept of the line y = 2x + 6?

Back

The coordinate pair for the y-intercept is (0, 6).

Front

If a line has a slope of 0, what does this indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Tags

CCSS.8.EE.B.5

Front

What is the significance of a negative slope in a linear equation?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Tags

CCSS.8.EE.B.5

Front

How can you determine the slope from two points on a line, (x1, y1) and (x2, y2)?

Back

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

Tags

CCSS.8.EE.B.5