Topic 2 Part 2 Review

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 slope of a line represent in a real-world context?

Back

The slope represents the rate of change between two variables.

Front

What is a y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

If a line has a slope of 4/3, what does this indicate?

Back

This indicates that for every 3 units moved horizontally, the line moves up 4 units vertically.

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

How can you determine if a line is increasing or decreasing?

Back

If the slope is positive, the line is increasing; if the slope is negative, the line is decreasing.

Front

What is the formula to calculate the rate of change from a table of values?

Back

Rate of change (slope) = (change in y) / (change in x).

Front

What two pieces of information are needed to write a linear equation?

Back

You need the rate (slope) and the y-intercept.

Front

In the equation y = 0.5x + 10, what does the 0.5 represent?

Back

The 0.5 represents the per-mile fee for the moving truck.