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.