slope formula

Front

What is the slope formula?

Back

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

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the x-value does not change as the y-value changes.

Front

How do you find the slope between two points (4,10) and (-6,5)?

Back

Using the slope formula: m = (5 - 10) / (-6 - 4) = -5 / -10 = 1/2.

Front

What is the slope of the line represented by the equation y = 1/2x?

Back

The slope is 1/2.

Front

What is the slope of the line represented by the equation y = 3x?

Back

The slope is 3.

Front

If a line has a slope of -2/3, what does this indicate about the line's direction?

Back

The line descends from left to right, indicating a negative slope.

Front

What is the slope of a line that is perfectly vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a horizontal line is 0.

Front

How do you interpret a slope of 4 in a real-world context?

Back

A slope of 4 means that for every 1 unit increase in x, the y value increases by 4 units.