Review: Distance / Midpoint / Slope

Front

What is the formula for finding the midpoint between two points (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

Calculate the midpoint of the points (3, -1) and (7, -5).

Back

(5, -3)

Front

What is the distance formula used to find the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

Find the distance between the points (4, 3) and (0, 6).

Back

5

Front

What does a slope of m = 0 indicate about a line?

Back

The line is horizontal.

Front

What does a slope of m = undefined indicate about a line?

Back

The line is vertical.

Front

If two lines have slopes m1 and m2, under what condition are they perpendicular?

Back

m1 * m2 = -1.

Front

Find the slope of the line passing through the points (2, 3) and (4, 7).

Back

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 the slope of a line is 7, what is the slope of a line perpendicular to it?

Back

-1/7.