SOLUTION: I can't seem to figure out this question, I have been working on it for a long time and it's starting to frustrate me. I need help! Graph the equation. y+2=-(x-4) Thank you

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Question 198365: I can't seem to figure out this question, I have been working on it for a long time and it's starting to frustrate me. I need help!
Graph the equation.
y+2=-(x-4)
Thank you!
Found 3 solutions by jim_thompson5910, Alan3354, Earlsdon:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website!
Step 1) Solve for y

Start with the given equation.

Distribute

Subtract 2 from both sides.

Combine like terms.

Step 2) Graphing

Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is

Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point

Now since the slope is comprised of the "rise" over the "run" this means

Also, because the slope is , this means:

which shows us that the rise is -1 and the run is 1. This means that to go from point to point, we can go down 1 and over 1

So starting at , go down 1 unit

and to the right 1 unit to get to the next point

Now draw a line through these points to graph

So this is the graph of through the points and

Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website!
I can't seem to figure out this question, I have been working on it for a long time and it's starting to frustrate me. I need help!
Graph the equation.
y+2=-(x-4)
---------
y+2 = -x + 4
y = -x + 2
------------
It's a straight line, so you need 2 points. Pick 2 values for x and solve for y.
at x = 0, y = 2 --> (0,2)
at x = 5, y = -3 --> (5,-3)
Plot those 2 points and draw a line thru them.

Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website!
To graph the linear equation , first solve for y:
Subtract 2 from both sides of the equation.
Now simplify the right side.

Now to graph a linear equation such as this one, you need only to graph two points.
The first point can be found by letting x = 0 and solving for the corresponding value of y. So substitute x = 0 into the above equation:

So the first point is (0, 2)
Now let y = 0 and solve for the corresponding value of x.
Add x to both sides.
The second point is (2, 0)
Put both of these points on your coordinate graph and join them with a straight line and you will have the graph of the given linear equation.