SOLUTION: Determine the standard form of the equation of the line that passes through (-7,8)and (0,2)

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Question 1136928: Determine the standard form of the equation of the line that passes through (-7,8)and (0,2)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the standard form of the equation of the line is: ax%2Bby=c

if the line that passes through (-7,8)and (0,2), we can use slope intercept form
y=mx%2Bb
and use points to ind a slope m
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%282-8%29%2F%280-%28-7%29%29
m=+-6%2F7%29
so far we have y=-%286%2F7%29x%2Bb ...use coordinates of one point to find b
2=-%286%2F7%290%2Bb
b=2
y=-%286%2F7%29x%2B2...rewrite it in standard form
%286%2F7%29x%2By=2.....both sides multiply by 7
6x%2B7y=14=> your answer