Slope and Y-Intercept

Front

What is the slope?

Back

The slope is a measure of the steepness of a line, represented as the ratio of the rise (change in y) over the run (change in x).

Front

Determine the slope and y-intercept from the equation: y = 3/2x + 3

Back

Slope: 3/2, Y-Intercept: (0, 3)

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the y-intercept in the equation y = 2x + 24?

Back

The y-intercept is 24, represented as the point (0, 24).

Front

Which y-intercept and slope applies to the graph of y = 2x - 2?

Back

Y-Intercept = -2, Slope = 2.

Front

How do you find the slope from 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, resulting in an upward slant 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, resulting in a downward slant from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.