7.7A

Front

What is the relationship between the cost to rent a boat (y) and the amount of time rented (x)?

Back

The relationship is typically linear, where the cost increases as the time rented increases.

Tags

CCSS.HSF-LE.A.1B

Front

How do you determine the slope of a line from a graph?

Back

The slope is determined by the rise over run, which is the change in y divided by the change in x between two points on the line.

Tags

CCSS.8.EE.B.5

Front

What is 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

How can you identify the y-intercept from a graph?

Back

The y-intercept is the point where the line crosses the y-axis, which occurs when x = 0.

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change, indicating how much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

Front

What is the equation of a line with a slope of 4/5 and a y-intercept of 4?

Back

The equation is y = (4/5)x + 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

To convert, solve for y in terms of x, isolating y on one side of the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the significance of the y-intercept in a real-world scenario?

Back

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

Tags

CCSS.HSF.LE.B.5

Front

How can you graph a linear equation given in slope-intercept form?

Back

Start by plotting the y-intercept on the y-axis, then use the slope to find another point on the line.

Front

What does a negative slope indicate about the relationship between x and y?

Back

A negative slope indicates that as x increases, y decreases.

Tags

CCSS.8.EE.B.5