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, the point where the line crosses the y-axis.

Front

How do you calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is 2, calculated as (7 - 3) / (4 - 2).

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the y-intercept of the line represented by the equation y = 3x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

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

Back

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

Front

What is the equation of a line with a slope of -2 and a y-intercept of 3?

Back

The equation is y = -2x + 3.

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope.