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Write an equation for a function that has a slope of 3 and that passes through the point (8, 14).

Sagot :

danielgeyfman

Answer:

[tex]f(x)=3x-10[/tex]

Step-by-step explanation:

Recall point-slope form: Given a point [tex](x_{1}, y_{1})[/tex] and the slope [tex]m[/tex], the equation for the line is [tex]y-y_{1}=m(x-x_{1})[/tex].

We can plug in for our point and slope!

The equation for the line is [tex]y-14=3(x-8)[/tex].

Distributing the right side gives [tex]y-14=3x-24[/tex].

Adding [tex]14[/tex] to both sides gives [tex]y=3x-10[/tex].

So, the function is [tex]\boxed{f(x)=3x-10}[/tex] and we're done!

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