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# 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

**Solution:**

Point slope form is used to represent a straight line using its slope and a point on the line.

That means, the equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form.

It is given that,

**Point-slope equation y - 5 = 3(x - 2)**

y - 5 = 3x - 6

**By transposing we get,**

y = 3x - 6 + 5

y = 3x - 1

**Then,**

f(x) = 3x - 1

**Therefore, the linear function for the line is f(x) = 3x - 1.**

## 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

**Summary:**

The linear function for the line represented by the point-slope equation y - 5 = 3(x - 2) is f(x) = 3x - 1.

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