Write the equation of a line whose slope is - 2 and passes through (-1,6). Write the answer in slope-intercept form.

Y = mx + b

slope (m) = - 2

(-1,6) ... x = - 1 and y = 6

now we sub and find b, the y int

6 = - 2 (-1) + b

6 = 2 + b

6 - 2 = b

4 = b

so ur equation is : y = - 2x + 4 <==

We are given an (X, Y) in (-1, 6). We are also given a slope of - 2.

Start by plugging all those values into the slope intercept equation.

6 = - 2*-1 + B

Solve for B.

B = 4

Now, all you have to do is put it back into the equation again, this time not using the (X, Y) we had initially, but just the slope (-2) and our new "B" value (5).

The resulting equation looks like this:

y = - 2x + 4

And that's the answer.