SOLUTION: Find the equation of the line through the y-intercept of y = x^4 – 3x^5 – 8 + x^2 and the x-intercept of y = 2x – 18. If anyone can explain how to do this that would be awesome! I

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Question 685360: Find the equation of the line through the y-intercept of y = x^4 – 3x^5 – 8 + x^2 and the x-intercept of y = 2x – 18.
If anyone can explain how to do this that would be awesome! I'm so confused. Thanks!

Found 2 solutions by Edwin McCravy, josmiceli:
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
To find the y intercept of y = x^4 – 3x^5 – 8 + x^2, substitute x=0 and
solve for y

y = 0^4 – 3(0)^5 – 8 + (0)^2 
y = 0 - 0 - 8 + 0 =
y = -8

So the y intercept of that graph is (x,y) = (0,-8)

To find the y intercept of y = 2x – 18, substitute y=0 and
solve for x

  y = 2x – 18
  0 = 2x - 18
-2x = -18
  x = 9

So the x intercept of that graph is (x,y) = (9,0)

So now the problem becomes:

Find the equation of the line which passes through the
two points (0,-8) and (9,0)

The slope is given by the formula:

m = 

m = 

m = 


So the y intercept of that graph is (x,y) = (0,-8),

so b = -8.

We can just use y = mx + b and get

y = x - 8

Edwin


Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Find the y-intercept of
Important rule:
The y-intercept occurs where
Note that really is a function of , then
there is only ONE y-intercept
--------------------------


It is important to note that this intercept is
the point (0,-8)
--------------
Now find the x-intercept of
The x-intercept occurs where



This is the x-intercept. Note that a valid function
can have MANY x-intercepts, but a straight line
like this one has only ONE x-intercept.
This intercept is at the point (9,0)
----------------------------
Now you need to find the equation that goes
through these points (0,-8) and (9,0)
Use the general point-slope formula.


Multiply both sides by




----------------
check answer:
Does it go through (0,-8) ?



----------
Does it go through (9,0) ?




OK

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