slope formula

Front

What is the slope formula?

Back

The slope formula is given by m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on a line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the change in x (denominator) is zero.

Front

How do you find the slope between two points?

Back

To find the slope between two points, use the formula m = (y2 - y1) / (x2 - x1) and substitute the coordinates of the points.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in y regardless of the change in x.

Front

Calculate the slope of the line given the points (3, 18) and (0, 18).

Back

The slope is 0, as both points have the same y-coordinate.

Front

What is the slope of the line represented by the equation y = -5/4x + 3?

Back

The slope of the line is -5/4.

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

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change, such as speed, cost per item, or growth rate.

Front

How do you interpret a slope of -6?

Back

A slope of -6 indicates that for every 1 unit increase in x, y decreases by 6 units.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.