Coordinate Geometry Review

Front

What is the first step to find the perpendicular bisector of two points?

Back

Find the midpoint of the two given points.

Front

What is the slope of a line perpendicular to the line given by the equation y = 2x - 7?

Back

-1/2

Front

Which line is parallel to y = 2x - 7?

Back

y = 2x - 3.

Front

Write the equation of a line perpendicular to y = \frac{2}{3}x - 3 that passes through the point (4, -1).

Back

y = -\frac{3}{2}x + 5.

Front

Write the equation of a line with slope m = -1/2 that passes through the point (-2, 4).

Back

y = -\frac{1}{2}x + 3.

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

m = \frac{y2 - y1}{x2 - x1}.

Front

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

Back

Midpoint = \left(\frac{x1 + x2}{2}, \frac{y1 + y2}{2}\right).

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The product of their slopes is -1.

Front

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

Back

The slope of a parallel line is also 3.

Front

What is the slope-intercept form of a line?

Back

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