Question

Find the equation of the line through the points $(1,-1)$ and $(3,5)$.

• A. $2x-y=3$
• B. $y=2x-4$
• C. $3x-y=4$
• D. $y=4x-3$

Answer 1

Answer: (C)

Here $x_1=1$,
$y_1=-1$ and
$x_2=3$,
$y_2=5$.
Using two-point form, equation of the line is
$y-\left(-1\right)=\frac{5-\left(-1\right)}{3-1}\left(x-1\right)$
$\Rightarrow 3x-y-4=0$