Coordinate axes

Find the triangle area given by line -7x+7y+63=0 and coordinate axes x and y.

Correct answer:

S =  40.5

Step-by-step explanation:

7x + 7y + 63 = 0  x=0: 7 0+7y+63=0 7y=63 y=63/7=9  y=0: 7x+7 0+63=0 7x=63 x=63/7=9  a=x=9=9 b=y=(9)=9  ABC: (0,0), (0,9), (9,0)  S=a b/2=9 9/2=40.5

-7·0+7y + 63 = 0

-7·0+7·y + 63 = 0

7y = -63

y = -63/7 = -9

y = -9

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