Slope-Intercept Form - Graded Flashcard

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (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 is the slope of the line passing through the points (−6, 2) and (0, 4)?

Back

The slope is 1/3.

Front

What is the slope of the line passing through the points (1, 8) and (3, 12)?

Back

The slope is 2.

Front

What is the slope of the line passing through the points (2, 4) and (6, 12)?

Back

The slope is 2.

Front

How do you write the equation of a line in slope-intercept form?

Back

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the equation of a line with a slope of 2/3 and a y-intercept of -3?

Back

The equation is y = (2/3)x - 3.

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 negative slope, what does that indicate about its direction?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

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

Back

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