SOLUTION: 9. 2x - 4y - 14 = 0 15. y = -x -15 I don't understand how to do Linear's can u please tell me step- by- step.

Question 150403This question is from textbook Algebra
: 9. 2x - 4y - 14 = 0
15. y = -x -15
I don't understand how to do Linear's can u please tell me step- by- step. This question is from textbook Algebra

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm assuming that you want to graph?

# 9

Start with the given equation.

Subtract from both sides.

Add to both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Simplify.

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 2. This means that to go from point to point, we can go up 1 and over 2

So starting at , go up 1 unit

and to the right 2 units 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

# 15

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 stanbon(75887) (Show Source): You can put this solution on YOUR website!
9. 2x - 4y - 14 = 0
Divide thru by 2 to get:
x -2y - 7 = 0
solve for "y":
Add 2y to both sides to get:
2y = x - 7
Divide thru by 2 to get:
y = (1/2)x - (7/2)
If x = 0, y = -7/2
If x = 1, y = -3
-------
Plot those two points and draw a line thru them.

========================
15. y = -x -15
If x = 0, y=-15
If x = 1, y = -16
Plot those two points and draw a line thru them
-----------

==============================
Cheers,
Stan H.

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