slope intercept form

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does the slope (m) represent in the slope-intercept form?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

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

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line falls steeply from left to right.

Front

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

Back

The y-intercept is 3, which means the line crosses the y-axis at (0, 3).

Front

How can you convert the equation Ax + By = C to slope-intercept form?

Back

To convert, solve for y: y = (-A/B)x + (C/B).

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope of the line is -1/2.

Front

If the slope of a line is 0, what does this mean about the line?

Back

A slope of 0 means the line is horizontal.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.