Brilliant

Home Courses Today

Excel in math and science.

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

Your answer seems reasonable. Find out if you're right!

That seems reasonable. Find out if you're right!

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

Algebra

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 $a+b=18$ .