Slope-Intercept Form and Y-Intercept

Front

What is the y-intercept of a line?

Back

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

Front

In the equation y=mx+b, what does the m represent?

Back

The m represents the slope of the line, which indicates the steepness and direction of the line.

Front

What is the slope in the equation y=2x + 3?

Back

The slope is 2.

Front

What is the y-intercept for the equation y=2x + 3?

Back

The y-intercept is 3.

Front

What is the x-intercept of the line represented by the equation y = 2x + 3?

Back

The x-intercept is the point where y = 0, which can be found by solving the equation: 0 = 2x + 3, giving x = -3/2.

Front

How do you find the slope between 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 the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls 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.