Question

A line passes through (2, −1) with slope 3. What is the equation of the line in point-slope form?

Answer 1

Hint :- The point slope form of the line is
`m(x-x_1) = y - y_1` , where
`(x_1,x_2)` is the point and
`m` is the slope of the line .

Solution :- The given point is
`(2,-1)` and the slope is 3 . On using the point slope form of the line, we have ;

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

Substitute ,

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

Simplify ,

`\implies 3x -6=y+1`

Add -1 and -y to the both sides ,

`\implies \boxed{3x -y -7=0 }`