Question

Find an equation of the vertical line through (3 comma negative 1 )in the form axplusbyequals​c, where​ a, b, and c are integers with no factor common to all​ three, and agreater than or equals0.

Answer 1

The equation of the vertical line is $1x+0y=3$

Explanation:

It is given that the vertical line passes through the points $(3,-1)$

For vertical line, the slope is undefined.

Hence, $b=0$

Let us substitute the coordinate $(3,-1)$ in the equation $ax+by=c$, we have,

$3a+0y=c$

Simplifying, we have,

$3a=c$

$3=\frac{c}{a}$

where $a=1$ and $c=3$

Substituting the values of a, b and c in the equation $ax+by=c$, we have,

$1x+0y=3$

Thus, the equation of the vertical line is $1x+0y=3$