8th Unit 3 Test Review: Linear Relationships Reduced

Front

What is the slope in a linear relationship?

Back

The slope is the rate of change of the line, indicating how much the y-value changes for a unit change in the x-value.

Front

How do you calculate the slope given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a graph?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a rising line.

Front

What does a negative slope indicate about a graph?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a falling line.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

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

Back

The equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

If a pizza restaurant charges $15 per pizza and $6 for delivery, how would you express the total cost for x pizzas?

Back

Total cost = 15x + 6.

Front

What is the total cost if you order 2 pizzas from a restaurant that charges $15 each and $6 for delivery?

Back

Total cost = 15(2) + 6 = $36.

Front

How can you identify a decreasing graph?

Back

A decreasing graph slopes downwards from left to right, indicating that as x increases, y decreases.

Front

What is the slope of the line that passes through the points (7,3) and (9,7)?

Back

Slope = (7 - 3) / (9 - 7) = 4 / 2 = 2.