Graph the line y=−3x+b if it is known that the graph goes through point: B(5,2)
1 answer:
Try this solution:
1. In order to built the line required in the condition it need to determine its equation.
Using the coordinates of point B (5;2), if to substitute them into the given equation: 2=-3*5+b, ⇒ b=17. It means, that the equation of the line required in the condition is y= -3x+17.
2. The graph is in the attachment; point (0;17) is the intersection point of Y-axis and the line.
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Answer:
Step-by-step explanation:
Given
Required
To determine if it is an exponential function, we have to write in form of
If we're able to do so, then the function is an exponential function.
If otherwise, then it is not
Apply Law of indices
Express 5^3 as 125
Factorize the exponent of 5
Express 5^2 as 25
This can be rewritten as:
By comparing the above to
We have that
Since, we've be able to express the function as
Then, is an exponential function