Finding Slope

Front

What is the formula to find the slope of a line between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a slope of 2 indicate about a line?

Back

The line rises 2 units for every 1 unit it moves to the right.

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

If the slope of a line is negative, what does that indicate about the line's direction?

Back

The line descends from left to right.

Front

How do you determine if a slope is positive or negative from a graph?

Back

If the line rises from left to right, the slope is positive; if it falls, the slope is negative.

Front

What does it mean if a slope is undefined?

Back

It means the line is vertical and cannot be expressed as a ratio.

Front

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What is the slope of the line that passes through the points (4, 8) and (4, 10)?

Back

The slope is undefined because the x-coordinates are the same.

Front

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

Back

The line is steep and descends quickly from left to right.