Slope Flashcard

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning it does not rise or fall.

Front

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

Back

The slope-intercept form is given by the equation: y = mx + b, where m is the slope and b is the y-intercept.

Front

If the slope of a line is -3 and the y-intercept is 2, what is the equation of the line?

Back

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

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

Back

The slope is m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What is the slope of a line that is perpendicular to a line with a slope of 2?

Back

The slope of a line that is perpendicular to a line with slope 2 is -1/2 (the negative reciprocal).

Front

If a line has a slope of 1/2, what does this mean in terms of rise and run?

Back

For every 1 unit the line rises (up), it runs 2 units horizontally to the right.