SOLUTION: Hey i need help in this problem i did it but i don't know if its right or not here it is. These are the steps for both of the problems a) Rewrite in slope-intercform b) id

Question 127399: Hey i need help in this problem i did it but i don't know if its right or not
here it is.
These are the steps for both of the problems
a) Rewrite in slope-intercform
b) identify x-and y-intercepts
c)graph the equation
AND THESE ARE BOTH OF THE PROBLEMS
1) 5x-2y=5
2) 3x+5y=15
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first one to get you on track

# 1

a)

Start with the given equation

Subtract from both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

So the equation is now in slope-intercept form () where the slope is and the y-intercept is

b)

Start with the equation in standard form

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
Plug in

Simplify

Divide both sides by 5

Reduce

So the x-intercept is

(note: the x-intercept will always have a y-coordinate equal to zero)

------------------

Start with the equation in standard form

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
Plug in

Simplify

Divide both sides by -2

Reduce

So the y-intercept is

(note: the y-intercept will always have a x-coordinate equal to zero)

------------------------------------------

So we have these intercepts:
x-intercept:

y-intercept:

c)

Now let's use the equation to graph

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

note: the point also looks like (0,-2.5)

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 5 and the run is 2. This means that to go from point to point, we can go up 5 and over 2

So starting at

, go up 5 units

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

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