7.4a, 7.7a

Front

What does a linear relationship represent in a graph?

Back

A linear relationship shows a constant rate of change between two variables, represented by a straight line on a graph.

Front

How can you determine the slope of a line in a graph?

Back

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

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The y-intercept represents the value of y when x is 0, indicating where the line crosses the y-axis.

Front

If Layla has read 2 books in 3 months, what is her reading rate per month?

Back

Her reading rate is 2 books / 3 months = 0.67 books per month.

Front

How do you write an equation for a proportional relationship?

Back

A proportional relationship can be written as y = kx, where k is the constant of proportionality.

Front

What is the meaning of the variable 'x' in the equation y = 4.25x?

Back

In this equation, 'x' represents the number of pounds of cheddar cheese.

Front

What is the total cost of 5 pounds of cheddar cheese if it costs $4.25 per pound?

Back

The total cost is y = 4.25 * 5 = $21.25.

Front

What does a table of values represent in a linear relationship?

Back

A table of values shows pairs of x and y values that satisfy the linear equation.

Front

How can you identify if a table satisfies a linear equation?

Back

You can identify if a table satisfies a linear equation by checking if the ratio of change between y and x is constant.