SOLUTION: you sell sporting goods. your wages depend.on the value of your sales. one week you sold $3500 in sporting goods, earning $950. another week you sold $2800 in sporting goods, earni

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: you sell sporting goods. your wages depend.on the value of your sales. one week you sold $3500 in sporting goods, earning $950. another week you sold $2800 in sporting goods, earni      Log On

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Question 1122885: you sell sporting goods. your wages depend.on the value of your sales. one week you sold $3500 in sporting goods, earning $950. another week you sold $2800 in sporting goods, earning $810. write an equation of the line in standard form.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Plot wages, +y+ on the vertical axis
Plot sales, +x+ on the horizontal axis
Let the form of the equation be +y+=+m%2Ax+%2B+b+
+m+=+%28+950+-+810+%29+%2F+%28+3500+-+2800+%29+
+m+=+140+%2F+700+
+m+=+.2+
————————
Now I have +y+=+.2x+%2B+b+
Find +b+
+810+=+.2%2A2800+%2B+b+
+810+=+560+%2B+b+
+b+=+250+
———————-
Now I have:
+y+=+%281%2F5%29%2Ax+%2B+250+
+5y+=+x+%2B+1250+
In standard form:
+x+-+5y+%2B+1250+=+0+
————————————
Check:
( 3500, 950 )
+3500+-+5%2A950+%2B+1250+=+0+
+4750+-+4750+=+0+
OK