Slope!

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, usually represented as 'm', calculated as the change in y (rise) over the change in x (run).

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does an undefined slope indicate about a line?

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, where there is no change in y.

Front

If a line has a slope of 2, what does this mean?

Back

For every 1 unit increase in x, y increases by 2 units.

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

Slope = (12 - 4) / (6 - 2) = 2.

Front

What is the slope of a line that rises 4 units for every 1 unit it runs?

Back

The slope is 4.

Front

If the slope of a line is -1/2, what does this indicate about the line's direction?

Back

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

Front

How do you find the y-coordinate of a point on a line given a slope and another point?

Back

Use the slope formula: y - y1 = m(x - x1), where (x1, y1) is the known point.

Front

What is the slope of a line that passes through the points (3, 5) and (3, 7)?

Back

The slope is undefined, as the x-coordinates are the same.