Answer :
The x and y intercept of 5x + 5y = -30 are (-6, 0) and (0, -6) respectively.
Explanation:
The Standard Form of the equation of a line is given by:
[tex]Ax+By=C \\ \\ A,B,C \ Real \ Constants \ and \ A>0[/tex]
So:
[tex]5x+5y=-30[/tex]
is written in Standard Form. The x and y intercepts are:
[tex]x-intercept: \ (x,0) \\ \\ y-intercept: \ (0,y)[/tex]
So:
FOR X-INTERCEPT:
[tex]Let's \ set: \\ y=0 \\ \\ 5x+5(0)=-30 \\ \\ Isolating \ x: \\ \\ 5x=-30 \\ \\ x=-\frac{30}{5} \\ \\ \boxed{x=-6}[/tex]
FOR Y-INTERCEPT:
[tex]Let's \ set: \\ x=0 \\ \\ 5(0)+5y=-30 \\ \\ Isolating \ x: \\ \\ 5y=-30 \\ \\ y=-\frac{30}{5} \\ \\ \boxed{y=-6}[/tex]
Finally, the x and y intercept of 5x + 5y = -30 are (-6, 0) and (0, -6) respectively.
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