Slope and Functions Mini-Review

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive slope indicate about a line?

Back

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

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

2

Front

How do you find the slope from a table of values?

Back

Calculate the change in y divided by the change in x between two points.

Front

If a line has a slope of 0, what does this mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

Given the equation y = 3/2x + 3, what is the slope?

Back

3/2

Front

Given the equation y = 3/2x + 3, what is the y-intercept?

Back

(0, 3)

Front

What is the slope of the line represented by the equation y = -x + 5?

Back

-1