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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

User Rupps
by
1.9k points

2 Answers

22 votes
22 votes

Answer:

y=-2x+10

Explanation:

i graphed it i graphed all of them

User Wes Winham
by
2.4k points
19 votes
19 votes

Answer:

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! :)

User Atdinh
by
2.8k points