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 do the variables m and b represent in the slope-intercept form?

Back

In the equation y = mx + b, m represents the slope of the line, and b represents the y-intercept.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope of the line is 2.

Front

What is the y-intercept of the equation y = -3x + 4?

Back

The y-intercept is 4.

Front

If the slope of a line is 1/2, what does this indicate about the line?

Back

A slope of 1/2 indicates that for every 2 units you move horizontally to the right, the line rises 1 unit.

Front

How would you write the equation of a line with a slope of -1 and a y-intercept of 3?

Back

The equation would be y = -1x + 3 or y = -x + 3.

Front

What is the slope of the line represented by the equation y = -4x - 5?

Back

The slope of the line is -4.

Front

How do you convert the standard form 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 a horizontal line?

Back

The slope of a horizontal line is 0.