SOLUTION: how to find the y=ab^x equation for a graph that passes through the points (2,45) and (5,1215)
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Question 947531: how to find the y=ab^x equation for a graph that passes through the points (2,45) and (5,1215)
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Choose the base you want. Base ten is used here.
This equation is now in linear form.
The given points need to be reprocessed to fit with the linear formed equation. The vertical axis coordinates must be and .
The slope of the line is .
Solve for b.
Slope-intercept form will still be convenient to use for find the vertical axis INTERCEPT. Recall ;
If v is for vertical axis intercept, f for the vertical axis value at any x,
.
Choose either of your treated points which fit the linearized equation, the now found slope, and solve for the value of your vertical axis intercept.
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