Equations of Lines

Front

What is the formula for the slope of a line?

Back

The formula for the slope (m) of a line passing through two points (x1, y1) and (x2, y2) is m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

The slope is 2.

Tags

CCSS.8.EE.B.5

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in the equation of a line?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Find the y-intercept of the line represented by the equation y = 2x - 3.

Back

The y-intercept is -3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does m represent in the formula y = mx + b?

Back

m represents the slope of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has a slope of -5/4, what does this indicate about the line's direction?

Back

A slope of -5/4 indicates that the line is decreasing, moving downwards from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

The slope is 2.

Tags

CCSS.8.EE.B.5