Coordinate Geometry

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a slope of 0 indicate about a line?

Back

The line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

The line is vertical.

Front

How do you determine if two lines are perpendicular using their slopes?

Back

The product of their slopes is -1.

Front

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

Back

y - y1 = m(x - x1) where (x1, y1) is a point on the line and m is the slope.

Front

Find the slope of the line that passes through the points (2, 3) and (5, 11).

Back

m = (11 - 3) / (5 - 2) = 8/3.

Front

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

Back

d = √((x2 - x1)² + (y2 - y1)²)

Front

If a line has a slope of 3, what is the slope of a line that is parallel to it?

Back

The slope of the parallel line is also 3.

Front

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

Back

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

Front

Find the coordinates of the point that divides the segment joining (1, 2) and (3, 4) in the ratio 1:1.

Back

(2, 3)