Choose a linear function for the line represented by the point-slope equation
y – 5 = 3(x – 2).
f(x) = 3x + 1
f(x) = 3x – 1
f(x) = 8x + 10
f(x) = 8x – 10

Respuesta :

y-5=3x-6
  +5     +5
________
y=3x-1

The linear function for the line that is represented is: B. [tex]\mathbf{f(x) = 3x - 1}[/tex]

What is a Linear Function?

A linear function is modelled by the equation, y = mx + b, where, m is the slope and b equals the y-intercept.

Given the equation in point-slope form, y - 5 = 3(x - 2), we can rewrite the linear function for the line as shown below:

y - 5 = 3(x - 2)

y - 5 = 3x - 6

Add 5 to both sides

y = 3x - 6 + 5

y = 3x - 1

Or

[tex]f(x) = 3x - 1[/tex]

Therefore, the linear function for the line that is represented is: B. [tex]\mathbf{f(x) = 3x - 1}[/tex]

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