Question

Which of the following is the equation of a line whose slope is 3 and which passes through the point (2,7)?

1. y=x + 3
2. y= 3x + 13
3. y=3x + 1
4. y= -3x + 5

Answer 1

Given:

Slope of a line = 3

Line passes through the point = (2,7)

To find:

The equation of the line.

Solution:

The point slope form of a line is:

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

Where, m is the slope of the line.

The line passes through the point (2,7) and slope of the line 3. So, the equation of the line is:

`y-7=3(x-2)`

`y-7=3x-6`

`y=3x-6+7`

`y=3x+1`

Therefore, the correct option is 3.