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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

Linear Equations - Forms of a Line

The graph of the line $y=ax+b$ passes through point $(2, 90)$ . If $x$ decreases from $3$ to $1$ , then $y$ decreases by $4$ . What is the sum of the $x$ -intercept and the $y$ -intercept?

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by Brilliant Staff

What is the equation of a line that passes through two points $(-2,-2)$ and $(4, 1)$ ?

y= \frac12 x -1

y= x -1

y= \frac12 x -2

y= \frac12 x +1

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by Brilliant Staff

Let $ax-y-b=0$ be the equation of the line passing through the midpoint of the line segment connecting two points $P=(4,9)$ and $Q=(5,1)$ . If the line has slope $6$ , what is the value of $a+b$ ?

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by Brilliant Staff

Suppose $A$ and $B$ are points in the first quadrant such that the slopes of the line segments $\overline{OA}$ and $\overline{OB}$ are $3$ and $\displaystyle \frac{1}{3}$ , respectively, where $O$ is the origin. If $\lvert \overline{OA} \rvert= \lvert \overline{OB} \rvert,$ then what is the equation of line which is parallel to the line segment $AB$ and passes through the point $P=(-3,7)?$

y=-x+10

y=x+4

y=x-10

y=-x+4

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by Brilliant Staff

What is the equation of a line with slope $4$ and $y$ -intercept $6?$

y={4}x+{6}

y={-4}x+{6}

y={4}x-{6}

y={-4}x-{6}

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by Brilliant Staff