Slope Intercept Word Problems

Front

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

Back

The slope-intercept form is given by the equation 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

Define slope in the context of a linear equation.

Back

Slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

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, representing the value of y when x = 0.

Front

Write the equation for a line with a slope of 2 and a y-intercept of 3.

Back

The equation is y = 2x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has a slope of -1, what does this indicate about the line's direction?

Back

A slope of -1 indicates that the line descends from left to right.

Tags

CCSS.8.EE.B.5

Front

How do you determine the slope from 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 is the relationship between the number of additional sticks of butter (x) and the number of cakes (y) if Tube has already baked 4 cakes?

Back

The relationship is given by the equation y = x + 4.

Tags

CCSS.6.EE.C.9

Front

Write the equation for the total number of pictures taken by Muzi after x days of vacation, starting with 2 pictures.

Back

The equation is y = x + 2.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If Quincy’s tree grows 1 inch every month and was 18 inches tall when bought, what is the equation for its height after x months?

Back

The equation is y = x + 18.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Apeach knits 3 centimeters of scarf each night. Write the equation for the length of the scarf after x nights.

Back

The equation is y = 3x.

Tags

CCSS.6.EE.C.9