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a )


Two solutions.
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b )


One solution .
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c )


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d )


One solution.
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e )



Two solutions.
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f )


Two solutions .
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Finding gradient:
m = y2 - y1
x2 - x1
= -1 - 6
1 - 3
= -7 / (-2)
= 7/2
y = m(x - x1) + y1
y = 7(x - 3) + 6
2
2y = 7x - 21 + 12
2y = 7x - 9
If 45' is the width of the house, then the front yard would have 65+45+65 feet = 175 feet, and the back yard would have 35 + 45 + 35 = 115 feet.
the total would be 290 feet.
Here's a graph with 4 points shown.