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Can someone help me on this one thank you​

Can Someone Help Me On This One Thank You class=

Sagot :

Answer:

[tex]f(x) = x + 4[/tex]

Step-by-step explanation:

First, recognise the form

[tex]y = mx + c[/tex]

where m is the slope, c is the constant, and y is f(x).

Then we use this formula:

[tex]y - y1 = ( \frac{y2 - y1}{x2 - x1} )(x - x1)[/tex]

We choose two points from the table: (2,6) and (4,7), then we substitute:

[tex](y - 6) = ( \frac{7 - 6}{4 - 2} )(x - 2)[/tex]

Solve as it is:

[tex](y - 6) = 1(x - 2) \\ y - 6 = x - 2 \\ y = x - 2 + 6 \\ y = x + 4[/tex]

which is the same as

[tex]f(x) = x + 4[/tex]