8th grade math 2nd 9 Weeks Test Review: Part 2

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 do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

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

Back

The y-intercept is the value of y when x = 0; it represents the starting point of the line on the y-axis.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the equation of a line that passes through the points (2, 2) and (3, 4)?

Back

The equation is y = 2x - 2.

Front

If Nate's service is described by y = 4x + 6, what is the cost for 8 movies?

Back

The cost for 8 movies is y = 4(8) + 6 = $38.

Front

What are the x- and y-intercepts for the equation 5x - 3y = 15?

Back

The x-intercept is (3, 0) and the y-intercept is (0, -5).

Front

What does the y-intercept mean in the context of Phoebe's party costs?

Back

The y-intercept of $200 means Phoebe's mom must pay an initial fee of $200 regardless of the number of guests.

Front

How do you determine if one linear service is cheaper than another?

Back

Compare the total costs for the same number of services (e.g., movies) using their respective equations.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change; it shows how much y changes for a unit change in x.