Linear Equations

Concept Quizzes

Linear Equations and Lines Warmup
Linear Rate of Change
Finding Points on a Line
Intercepts of a Line
Finding the Slope of a Line
Linear Equations - Forms of a Line
Linear Equations - Parallel and Perpendicular Lines
Linear Equations - Intersection of Lines
Linear Equations Word Problems
Converting Units
Linear Equations - Problem Solving

Challenge Quizzes

Linear Equations: Level 1 Challenges
Linear Equations: Level 2 Challenges
Linear Equations: Level 3 Challenges

Linear Equations and Lines Warmup

A line passes through the point $(1,3).$ It also passes through exactly 1 of the following points: $(0,0), (6,6), (10,10), (3,9), (28,24).$ What is the slope of the line?

\frac{7}{9}

3

\frac{3}{5}

\frac{1}{3}

\frac{5}{3}

Show explanation

by Brilliant Staff

What is the equation of a line that passes through the points $(3,4)$ and $(a,b)$ , assuming $a\neq3$ and $b\neq4$ ?

(a-3)x+(b-4)y+4b+3a = 0

(b-4)x+(3-a)y+4a-3b = 0

(a-3)x+(b-4)y+4a-3b = 0

(b-4)x+(3-a)y+4b-3a = 0

(b-4)x+(a-3)y+4b+3a = 0

(b-3)x+(a-4)y+4a-3b = 0

Show explanation

by Brilliant Staff

The line $L$ passes through the point $(4,4)$ , has slope $m$ such that $m<-1$ , and has $x$ -intercept $a$ and $y$ -intercept $b$ such that $a+b=18$ .