Slope and Y-intercept

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

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

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 of the line graphed below if it crosses the y-axis at 4?

Back

The y-intercept is 4, represented as (0, 4).

Front

Identify the y-intercept of the equation y = 2x + 5.

Back

The y-intercept is 5, represented as (0, 5).

Front

What is the slope of the line represented by the equation y = -5x + 1?

Back

The slope is -5.

Front

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

Back

Slope = (y2 - y1) / (x2 - x1).

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.

Front

If the slope is positive, what does that indicate about the line?

Back

A positive slope indicates that the line rises as it moves from left to right.