Linear Equations and Lines Warmup Practice Problems Online

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?

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

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

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

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

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

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

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 $a+b=18$ .

What is the value of $b$ ?

6 14

\frac{20}{3}

12 9 10 8

There is one point $(a,b)$ such that the line $(k-3)x + (2k+1)y = 14$ passes through $(a,b)$ for all real values of $k$ .

Find $a+b$ .

Two distinct points $(a,b)$ and $(b,c)$ lie on the line $y=-x+5$ What is the value of $a-c$ ?

2b

2 -2 0

b^2

b

-2b

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Linear Equations and Lines Warmup