You're more likely to get help if you post what you think are the answers.
slope = difference in y values/difference in x values
= (-1/2 - 0)/(-1/2 + 1/3)
= (-1/2) / (-1/6)
= (1/2)(-6) = 3
2. y = (8/7) + b
sub in the given point
-3 = (8/7)(5) + b
multiply by 7
-21 = 40 + 7b
b = -61/7
y = (8/7)x - 61/7 or
(8/7)x - y = 61/7
better form would be
8x - 7y = 61
btw, none of your answers match with
(8/7)x - y = 61/7 which is the answer in the form of the other answers.
I would not consider any of the given answers to be in standard form
Most text books consider "standard" form to be in the form
ax + by = c, where a,b, and c are integers.
My first line of #2 should have been
2. y = (8/7)x + b
yeah, i agree with reiny
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