Question

Write the equation in slope intercept form of the line the has a slope of 2 and contains the point (1,1)

Answer 1

First we write the general form of the equation for a line i.e. y=mx + b

where m = slope ( which is given as 2)

So equation modifies to y=2x+b.

To find b, plug in (1,1) for x and y

Now you get 1=2(1)+b.
1 = 2 + b
1 - 2 = b

So b=-1.
So the final equation is y=2x-1

So y = 2x - 1 is the line with slope 2 and containing the point (1,1)