Interpreting Slope and Y-intercept

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line decreases as you move from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the equation for a situation where a person starts with a certain amount and adds a fixed amount each week?

Back

The equation is y = mx + b, where m is the amount added each week and b is the starting amount.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is zero.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has a slope of 7, what does this mean in terms of rise over run?

Back

A slope of 7 means that for every 1 unit you move to the right (run), the line rises 7 units (rise).

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

Back

The slope is m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Tags

CCSS.8.EE.B.5

Front

What does a slope of 0 mean in a real-world context?

Back

A slope of 0 means there is no change; for example, a flat salary over time.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has a slope of -1/7, what does this indicate about its direction?

Back

A slope of -1/7 indicates that the line decreases gently as you move from left to right.

Tags

CCSS.8.EE.B.5