Question 546823
{{{3x-2y= -12}}}
That form of the equation is very user-friendly to find intercepts (x-intercepts and y-intercepts).
The x-intercept, is the value of x when the line crosses the x-axis, which is the horizontal line {{{y=0}}}.
If you substitute {{{y=0}}} in the equation given you get {{{3x=-12}}}.
Dividing both sides by 3, you get {{{x=-4}}}. That's the x-intercept.
The line crosses the x-axis at (-4,0).