Slope and y-intercept from Graphs/Tables

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is represented as (0, b) where b is the value of the y-intercept.

Front

How do you find the slope of a line?

Back

The slope (m) of a line is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it would require division by zero.

Front

Calculate the slope of the line passing through (2, 4) and (6, 8).

Back

The slope is m = (8 - 4) / (6 - 2) = 4 / 4 = 1.

Front

Calculate the slope of the line passing through (1, 2) and (3, 6).

Back

The slope is m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What is the formula for the slope-intercept form of a line?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of -3 and a y-intercept of 5, what is its equation?

Back

The equation of the line is y = -3x + 5.