Finding Slope from Two Points

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).

Front

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

Back

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

Front

What is the slope of the line that passes through the points (1, 2) and (3, 4)?

Back

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

Front

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

Back

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

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

If the slope of a line is undefined, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the y-intercept of the line y = 2x + 3?

Back

The y-intercept is 3, which is the value of y when x = 0.

Front

How do you convert the equation y = 2x + 3 to standard form?

Back

To convert to standard form, rearrange to get -2x + y = 3 or 2x - y = -3.

Front

What does it mean for two lines to be parallel in terms of slope?

Back

Two lines are parallel if they have the same slope.

Front

What does it mean for two lines to be perpendicular in terms of slope?

Back

Two lines are perpendicular if the product of their slopes is -1.