Y-Intercept and Slope

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Tags

CCSS.8.EE.B.5

Front

How do you find 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 formula for the slope-intercept form of a line?

Back

The slope-intercept form is 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 does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

If a line has a slope of 5/-3, what does this indicate about its direction?

Back

A slope of 5/-3 indicates that the line descends 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

How can you determine which line is the steepest among several lines?

Back

The steepness of a line is determined by its slope; the larger the absolute value of the slope, the steeper the line.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Front

If a line has a slope of 4/3, what does this indicate about its direction?

Back

A slope of 4/3 indicates that the line rises from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the line represented by the equation y = 2x + 2?

Back

The y-intercept is 2.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6