Slope and Slope Intercept Form

Front

What is the slope formula?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

How do you find the slope between the points (-2,-9) and (-1,-3)?

Back

Using the slope formula: m = (-3 - (-9)) / (-1 - (-2)) = 6.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the x-coordinates are the same (e.g., (-4, 3) and (-4, -7)).

Front

What is the slope-intercept form of a line?

Back

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

Front

If m = -7 and b = -8, what is the equation of the line?

Back

The equation is y = -7x - 8.

Front

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

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

In the equation y = 4x + 2, what is the slope?

Back

The slope is 4.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.

Front

How do you determine if a slope is positive, negative, or zero?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and a zero slope is a horizontal line.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.