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allencoalton allencoalton
  • 16-04-2016
  • Mathematics
Answered

how do you find the value of x or y so that the line through the points has a given slope?

Verified Answer :

Anonymous Anonymous
  • 16-04-2016

We can make a linear equation system to deduce it.

\(\left \{ {{y_1=ax_1+b~(I)} \atop {y_2=ax_2+b~(II)}} \right. \\ \\ (II)-(I): y_2-y_1=a(x_2-x_1) \\ \\ \boxed {a= \frac{\Delta x}{\Delta y} }\)

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apologiabiology
apologiabiology apologiabiology
  • 16-04-2016

ok so if you had the points
(x1,y1) and (x2,y2)
slope=rise/run so
slope=(y2-y1)/(x2-x1)

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