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.

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.

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.

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.

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.

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.

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.

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.