Identifying Slope and Y-Intercept

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in y (vertical) over the change in x (horizontal).

Front

How do you determine if a slope is positive?

Back

A slope is positive if the line rises from left to right, indicating that as x increases, y also increases.

Front

How do you determine if a slope is negative?

Back

A slope is negative if the line falls from left to right, indicating that as x increases, y decreases.

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the y-coordinate.

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

If a line has a slope of -3, what does this mean?

Back

A slope of -3 means that for every 1 unit increase in x, y decreases by 3 units.

Front

What is the y-intercept of the equation y = 3x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

What is the y-intercept of the equation y = -2x + 2?

Back

The y-intercept is 2, which is the value of y when x = 0.

Front

How can you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.