Answer
A straight line through points (3,0) and (0,−9)
Work Step by Step
We are looking for the x and y intercepts so that we can draw the graph; to do this, we have to plug 0 in for the y and x coordinates.
To find y- intercept, let $x = 0 $
$6x−2y=18$
$6(0)-2y=18$
$(6\times0)-2y=18$
$-2y=18$
$\frac{-2x}{-2}=\frac{18}{-2}$
$y=-9$
Therefore $y=(0,-12)$
To find x-intercept, let $y=0$:
$6x−2y=18$
$6x-2(0)=18$
$6x-(2\times0)=18$
$6x=18$
$\frac{6x}{6}=\frac{18}{6}$
$x=3$
Therefore $x=(3,0)$
