Slope!

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line.

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 a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Write the equation of a line with a slope of 2 that passes through the point (1, 3).

Back

y - 3 = 2(x - 1) or y = 2x + 1.

Front

If a line has a slope of -3, what does this tell you about the line's direction?

Back

The line descends from left to right.

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

Find the slope of the line that passes through (10, 1) and (5, 2).

Back

Slope = (2 - 1) / (5 - 10) = -1/5.