Slope & Slope-Intercept

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, 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 calculate the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line that passes through the points (3, -1) and (4, 7)?

Back

The slope is 8.

Tags

CCSS.8.EE.B.5

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the y-intercept in the equation y = 8x - 7?

Back

The y-intercept is -7.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you find the y-intercept from a slope-intercept equation?

Back

The y-intercept is the value of y when x = 0.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

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

Back

The slope is 2.

Tags

CCSS.8.EE.B.5

Front

How do you convert the equation of a line from standard form to slope-intercept form?

Back

Rearrange the equation to solve for y in terms of x.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the rise/run method for finding slope?

Back

The rise/run method involves counting the vertical change (rise) and the horizontal change (run) between two points on the line.

Tags

CCSS.8.EE.B.5