Question

What is the point slope form of a line with slope 3 that contains the point (2, 1)

Answer 1

y - 1 = 3(x - 2)

y - 1 = 3x - 6

y = 3x - 5

Answer 2

The point slope form of the line is y-1=3(x-2).

Explanation:

If a line passes through a points
`(x_1,y_1)` with slope m, then the point slope form of the line is

`y-y_1=m(x-x_1)` .... (1)

where, m is slope.

It is given that the slope of a line is 3 and it passes through the point (2,1).

Substitute m=3,
`x_1=2\text{ and } y_1=1` in equation (1), to find the point slope form of the line.

`y-(1)=(3)(x-(2))`

`y-1=3(x-2)`

Therefore the point slope form of the line is y-1=3(x-2).