Question

What is the equation of the line that contains point (2, -6) and has a slope of -2

y= -2x + 10
y= -2x + 2
y= -2x - 2
y= -2x -10

Answer 1

y=-2x+10

Explanation:

i graphed it i graphed all of them

Answer 2

y-2x-2

Explanation:

The way I would do this is by first using the information given and making an equation in point-slope form, before bringing it to y=mx+b.

We know that the slope is -2, and we have a point, (2,-6). The formula for equations in point slope form is
`y-y_(1) =m(x-x_(1) )`. So, we can insert the given information into this formula to get
`y+6=-2(x-2)`.

Next, we distribute the slope to the the parenthesis to get
`y+6=-2x+4`

Then, we subtract 6 from both sides to get
`y=-2x-2`

Since this equation is now in the form
`y=mx+b`, the answer is
`y-2x-2`

Hope this helps! :)