Finding Slope

Front

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

Back

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

Front

Find the slope of the points (1, 8) and (3, 12).

Back

m = (12 - 8) / (3 - 1) = 2

Front

What does it mean if the slope of a line is undefined?

Back

The line is vertical, meaning it goes straight up and down.

Front

Find the slope of the points (7, 4) and (5, 6).

Back

m = (6 - 4) / (5 - 7) = -1

Front

What is the slope of a horizontal line?

Back

The slope is 0.

Front

Find the slope of the points (-4, 5) and (-4, 2).

Back

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

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of 6/5, what does this indicate about the line's steepness?

Back

The line rises 6 units for every 5 units it runs to the right, indicating a steep positive slope.

Front

What is the slope of the line represented by the equation y = -2x + 3?

Back

The slope is -2.

Front

How do you determine if a slope is positive, negative, or zero?

Back

Positive slope: line rises from left to right; Negative slope: line falls from left to right; Zero slope: horizontal line.