Slope, Y=MX + B

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 letter 'm' represent in the equation y = mx + b?

Back

The letter 'm' represents the slope of the line.

Front

What does the letter 'b' represent in the equation y = mx + b?

Back

The letter 'b' represents the y-intercept of the line.

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

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line descends from left to right.

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line ascends from left to right.

Front

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

Back

The y-intercept is 4, which means the line crosses the y-axis at (0, 4).

Front

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

Back

The slope is -5.

Front

How can you determine if a line is horizontal or vertical based on its slope?

Back

A horizontal line has a slope of 0, while a vertical line has an undefined slope.

Front

What is the slope of a line that passes through the points (1, 2) and (3, 6)?

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).