Question

5x+5y=-30 find the x and y intercept

Answer 1

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:

$Ax+By=C \\ \\ A,B,C \ Real \ Constants \ and \ A>0$

So:

$5x+5y=-30$

is written in Standard Form. The x and y intercepts are:

$x-intercept: \ (x,0) \\ \\ y-intercept: \ (0,y)$

So:

FOR X-INTERCEPT:

$Let's \ set: \\ y=0 \\ \\ 5x+5(0)=-30 \\ \\ Isolating \ x: \\ \\ 5x=-30 \\ \\ x=-\frac{30}{5} \\ \\ \boxed{x=-6}$

FOR Y-INTERCEPT:

$Let's \ set: \\ x=0 \\ \\ 5(0)+5y=-30 \\ \\ Isolating \ x: \\ \\ 5y=-30 \\ \\ y=-\frac{30}{5} \\ \\ \boxed{y=-6}$

Finally, the x and y intercept of 5x + 5y = -30 are (-6, 0) and (0, -6) respectively.

Learn more:

Parallel lines: brainly.com/question/12169569

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