If <em>f(x)</em> is a linear function, then
<em>f(x)</em> = <em>ax</em> + <em>b</em>
for some constants <em>a</em> and <em>b</em>.
Given that <em>f</em> (1) = 4 and <em>f</em> (4) = 1, these constants are such that
<em>f</em> (1) = <em>a</em> + <em>b</em> = 4
<em>f</em> (4) = 4<em>a</em> + <em>b</em> = 1
Solve for <em>a</em> and <em>b</em> : eliminate <em>b</em> by subtracting the two equations,
(<em>a</em> + <em>b</em>) - (4<em>a</em> + <em>b</em>) = 4 - 1
-3<em>a</em> = 3
<em>a</em> = -1
Then
-1 + <em>b</em> = 4
<em>b</em> = 5
So we have
<em>f(x)</em> = -<em>x</em> + 5
Step-by-step explanation:
The equation of the line is y = 3x - 6 (D).
The answer is 68.5%
i hope this helps!
Answer: x = 5, x = -5 If you need more....
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