3 years ago

Is the point (4,-3) a solution for this system?

Mathematics

1 answer:

Oduvanchick [21]3 years ago

3 0

Yes it is.

Step by step explanation:

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Answer:

$f(x) = 6x -12$

Step-by-step explanation:

We must write the function of the line in the form $f (x) = mx + b$

First calculate the slope m

$m =\frac{y_2-y_1}{x_2-x_1}$

$y_2 = 18\\y_1 =6\\x_2=5\\x_1=3$

$m= \frac{18-6}{5-3} = 6$

Then

$f(x) = 6x +b$

To have b replaced a point in the function

$f(3)=6 = 6(3) +b\\\\6-18= b\\\\b=-12$

Finally the function is

$f(x) = 6x -12$

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