With this information I am to find the linear equation: f(−5)=−4 and f(5)=2The solution is...

Kaeden Hoffman

Kaeden Hoffman

Answered

2022-07-06

With this information I am to find the linear equation: f(−5)=−4 and f(5)=2
The solution is provided as y = 3 5 x 1 however I arrived at y = 7 10 x 3 2
Here is my working:
Using these points, find the equation: (-5,-4)(5, 2)
the slope m: m = y 1 y x 1 x = 2 + 5 5 + 5 = 7 10
Now that I have m, plug the values of one of the pairs into the linear function form to find b: y = m x + b
2 = 7 10 ( 5 ) + b
7 10 ( 5 ) + b = 2
7 2 + b = 2 #7/10 * 5 = 7/2
b = 2 7 2
b = 3 2
y = 7 10 x + 3 2
Where did I go wrong and how can I arrive at y = 3 5 x 1?

Answer & Explanation

amanhantmk

amanhantmk

Expert

2022-07-07Added 17 answers

Probably you made a mistake in the step below:
“Using these points, find the equation: (-5,-4)(5, 2)”
You should calculate 2-(-4)
therightwomanwf

therightwomanwf

Expert

2022-07-08Added 4 answers

Point-slope form for the line might be a bit easier:
y y 1 = m ( x x 1 )
m = y 2 y 1 x 2 x 1 = 2 ( 4 ) 5 ( 5 ) = 3 5
y 2 = 3 5 ( x 5 )
y = 3 5 x 1

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