Find a linear equation when x = 1, y = -1 and when x = 10, y = -82.

sucksatmath said:
Completely lost on this. I would appreciate any assistance. Thank you!
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equation of a straight-line passing through (x1, y1) and (x2,y2) is:

\(\displaystyle \dfrac{y - y_1}{y_2 - y_1} \ = \ \dfrac{x - x_1}{x_2 - x_1} \)
 
Anther way: any (non-vertical) line can be written in the form y= ax+ b. Put x= 1, y= -1, to get -1= a+ b.
Put x= 10, y= -82, to get -82= 10a+ b.

Now solve those two equations for a and b. A good start is to subtract one equation from another to eliminate b.
 
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