# LineI'm not sure if i have enough elements to find the equation of the line . I know slope -2 and a point (-1,1).

hala718 | Certified Educator

To write equation of the line you need the slope and one point on the line.

The equation of the line is given by:

y- y1 = m (x-x1) such that (x,y1) is a point on the line and m is the slope.

Now we can substitute with the given information.

==> y- 1 = -2 ( x + 1)

==> y-1 = -2x -2

==> y= -2x -2 + 1

==> y= -2x - 1

Then the equation of the line is y= -2x -1

pohnpei397 | Certified Educator

Yes, you have enough.  The slope intercept form of the equation of a line is

y = mx + b

Right now, you have everything but "b."  So all you have to do is plug numbers in and solve for b.

1 = -2(-1) + b

1 = 2 + b

b = -1

y = -2x -1

Wiggin42 | Student

We know slope is -2 and a point (-1,1).

Fittingly enough, in this case, its best to write this in point-slope form.

y - y1 = m(x - x1) where m is a slope and (x1, y1) is a point.

Plug into that formula:

y - 1 = -2(x + 1)

If you like, you can distribute the -2 and solve for y to put that in slope-intercept form. But this is also an acceptable answer.

giorgiana1976 | Student

Of course,you have!

There are the exactly elements you need to write the equation of the line in the point slope form:

y - y1 = m(x - x1)

We'll identify the coordinate x1 = -1 and y1 = 1 and the slope m = -2.

Now, we'll substitute them in the equation above:

y - 1 = (-2)[x - (-1)]

y - 1 = -2x - 2