Slope Flashcard Review

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the 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 is the slope of a line that rises from left to right?

Back

Positive slope.

Front

What is the slope of a line that falls from left to right?

Back

Negative slope.

Front

What is the slope of a horizontal line?

Back

Zero slope.

Front

What is the slope of a vertical line?

Back

Undefined slope.

Front

If the slope of a line is 4/3, what does this indicate about the line's steepness?

Back

The line rises 4 units for every 3 units it moves to the right, indicating a relatively steep incline.

Front

Given the points (6,7) and (4,2), what is the slope?

Back

5/2.

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 m=3 and b=6, what is the slope-intercept equation?

Back

y = 3x + 6.