Open Up Math 8 Unit 3 Mid Unit Assessment Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the rise (vertical change) to the run (horizontal change).

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by 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 point where the line crosses the y-axis, which occurs when x = 0.

Front

If the slope of a line is -4/3, what does this mean in terms of rise and run?

Back

A slope of -4/3 means that for every 3 units the line moves to the right (run), it moves down 4 units (rise).

Front

What is the significance of the slope in a real-world context, such as in a job that pays per item delivered?

Back

In this context, the slope represents the cost per item delivered, indicating how much money is earned for each additional item.

Front

How do you write the equation of a line in slope-intercept form given a slope of -2 and a y-intercept of -4?

Back

The equation is y = -2x - 4.

Front

Given the points (3, 2) and (4, 7), what is the slope?

Back

The slope is 5, calculated as (7 - 2) / (4 - 3).