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Geometry

Equation of a Line

Concept Quizzes

Finding the Slope of a Line
Intercepts of a Line
Linear Equations - Forms of a Line
Collinearity
Linear Equations Word Problems
Linear Equations - Parallel and Perpendicular Lines
Linear Equations - Intersection of Lines

Challenge Quizzes

Equation of a Line: Level 1 Challenges
Equation of a Line: Level 4 Challenges

Collinearity

If three points $A=(k,k+2),$ $B=(0,k-6)$ and $C=(k-4,k)$ all lie on the same line, what is the value of $k?$

-16 16 4 -4

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by Brilliant Staff

The $x$ - and $y$ -intercepts of a line have the same value. If the line passes through $P=(7,-6)$ and $Q=(-6,k),$ what is the value of $k?$

7 6 -6 -7

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by Brilliant Staff

Consider the two points $(-1, -1)$ and $(3, 7).$ If a circle passes through these two points, then which of the following cannot also be a point on the circle?

(0, 0)

(1, 1)

(1, 0)

(0, 1)

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by Brilliant Staff

What is the sum of all the values of $k$ that make three points $A=(1,k),$ $B=(k,1)$ and $C=(10,10)$ lie on the same line?

1 20 0 19

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by Brilliant Staff

Consider the line passing through two points $P=(1, 10)$ and $Q=(-1, 3)$ . If the line also passes through point $R=(17, a)$ , what is the value of $a$ ?

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