I need help with the following question,please.
If the function represents a straight line and it’s known that and , find the value of .
Thanks
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I need help with the following question,please.
If the function represents a straight line and it’s known that and , find the value of .
Thanks
The equation of a straight line is of the form
where is 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}} where are 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 of is
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!