Slope Intercept Word Problems

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 (change in y) to the run (change in x).

Front

How do you calculate the slope from 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 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 (1, 2) and (3, 6)?

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Front

What is the slope of the line that passes through the points (0, 0) and (4, 8)?

Back

The slope is 2, calculated as (8 - 0) / (4 - 0).

Front

Write the slope-intercept form of a line with a slope of 3 and a y-intercept of 2.

Back

The equation is y = 3x + 2.

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 is vertical, what is its slope?

Back

The slope of a vertical line is undefined.

Front

What is the relationship between slope and parallel lines?

Back

Parallel lines have the same slope.