Find the slope through (0, -7) and (9, -25).
Answer and explanation
-2
(-25 − (-7))/(9 − (0)) = -2
Subjects
Coordinate geometry
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Sample exercises
Find only the x-coordinate of the midpoint of (22, 3) and (-9, -19).
Answer and explanation
6.5
(22 + (-9))/2 = 6.5
Reflect (3, -4) in x = -2. What is the new x-coordinate?
Answer and explanation
-7
2 × (-2) − (3) = -7
Study notes
Slope between two points
Keep the point order the same in numerator and denominator.
Grades 8–10Midpoint coordinates
Average the x-coordinates separately from the y-coordinates.
Grades 8–10Reflection in a vertical line
The image is the same distance on the opposite side of the mirror line.
Grades 6–9Quarter-turn rotations
This rule rotates around the origin in the coordinate plane.
Grades 7–10Coordinate geometry · Formula sheet
Rules, conditions and small examples in one printable reference.
Grades 6–8Coordinate geometry · Formula sheet
Rules, conditions and small examples in one printable reference.
Grades 9–10Linear graphs: slope, intercept and checks
Connect an equation, its graph and a table without guessing from appearance.
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