Slope and Slope-Intercept Form Flashcard

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y (vertical change) divided by the change in x (horizontal change).

Front

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

Back

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

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

What does the y-intercept represent in a linear equation?

Back

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

Front

If a line has a slope of 0, what does that indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

If two lines are parallel, what can be said about their slopes?

Back

Parallel lines have the same slope.

Front

If two lines are perpendicular, what is the relationship between their slopes?

Back

The slopes of perpendicular lines are negative reciprocals of each other, meaning m1 * m2 = -1.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

Slope (m) = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

How do you find the slope of a line given its equation in slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b.

Front

What is the slope of a line that is vertical?

Back

A vertical line has an undefined slope because the change in x is 0.