Question

Find the equation of the line with gradient 3 passing through point (2,5)

Answer 1

Given:

A line passing through point (2,5) with gradient 3.

To find:

The equation of the line.

Solution:

Point slope form: if a line passes through the point
`(x_1,y_1)` and m is the slope or gradient, then the equation of line is

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

`y-5=3(x-2)`

`y-5=3(x)+3(-2)`

`y-5=3x-6`

Adding 5 on both sides, we get

`y=3x-6+5`

`y=3x-1`

Therefore, the equation of the line is
`y=3x-1`.