Slope from 2 Points

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

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 (3, 4) and (7, 8)?

Back

1

Front

How do you find the y-intercept of a line given its slope and a point on the line?

Back

Use the formula y = mx + b, where m is the slope and (x, y) is the point. Solve for b.

Front

What is the slope of the line that passes through the points (1, 2) and (4, 5)?

Back

1

Front

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

Back

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

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical and does not have a defined rise over run.

Front

Find the slope of the line that passes through the points (10, 1) and (5, 2).

Back

-1/5

Front

Find the slope of the line that passes through the points (-12, -5) and (0, -8).

Back

-1/4