I need help with the following question,please.
If the functionrepresents a straight line and it’s known that
and
, find the value of
.
Thanks
I need help with the following question,please.
If the functionrepresents a straight line and it’s known that
and
, find the value of
.
Thanks
The equation of a straight line is of the form
whereis the slope and
is the y-intercept.
The slope can be found by the following formula:
[tex]a=\frac{y_{2}- y_{1}}{ x_{2}- x_{1}} whereare the points which the line passes through.
So, in your case the slope is
Therefore the function can be written as
Finally the function can be written as
So the value ofis
Second Method
The "GDC way" using CASIO fx-9860 series is
MENU>STAT>Fill List1 with x-values (2 and -1) and List with the corresponding y-values (3 and 4)>CALC(F2)>REG(F3)>X(F1)> the output is a=-0.3333333, b=3.666666.
Then you can graph the linear function y=-0.3333333x+3.666666
MENU>GRAPH>Y1=-0.3333333x+3.666666>DRAW(F6)>F5>Y-CAL>X=10 and the result is Y=0.333333
Thanks Jack!
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