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

Question

asked Mar 15, 2022 47.8k views

1 Answer

Aladdin Gallas · Answer 1 · 2022-03-19T23:09:34+0000

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
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 ,

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