Question

Which equation represents a line that passes through (2, -1) and has a slope of 3?A) y- 2 = 3(x + 1/2)

B) y- 3 = 2(x + 1/2)
C) y+ 1/2= 3(x - 2)
D) y+ 1/2= 2(x - 3)

Answer 1

Given:

The slope of the line is 3.

The line passes through the point (2,-1).

To find:

The equation of the line.

Solution:

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

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

The line passes through the point (2,-1) with slope 3. So, the equation of the line is

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

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

Therefore, the required equation is
`y+1=3(x-2)`. Hence, all the options are incorrect.