Unit 6 - 5 FC Slope

Front

What is the formula for calculating the slope of a line given 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 a positive slope indicate about a line on a graph?

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 on a graph?

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 slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

How do you find the slope of a line given its y-intercept and another point on the line?

Back

Use the formula m = (y - y-intercept) / (x - 0), where (x, y) is the other point.

Tags

CCSS.8.EE.B.5

Front

If a line passes through the origin (0,0) and another point (a,b), how do you calculate the slope?

Back

The slope is calculated as m = b / a.

Tags

CCSS.8.EE.B.5

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How can you determine the slope from a table of values?

Back

Calculate the change in y divided by the change in x between two points in the table.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2, which is the coefficient of x in the slope-intercept form.

Tags

CCSS.8.EE.B.5