anonymous
  • anonymous
find the equation of the line that contains the point (8,1) and has slope -5....thanks for the help!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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amistre64
  • amistre64
y = -5(x-8)+1
amistre64
  • amistre64
y = -5x +41
anonymous
  • anonymous
do i add -5x to both sides to solve for y?

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anonymous
  • anonymous
its already solved for y. Do you mean solve for x in terms of y?
anonymous
  • anonymous
I guess I wanted to know if anything further needed to be done or if this was the complete answer. Sorry...I am horrible at math! :)
amistre64
  • amistre64
there are many ways to express the equation of a line; this is the most common form tho.
anonymous
  • anonymous
yes the usual is y=mx+c in wich this is already displayed
amistre64
  • amistre64
5x+y = 41 y = -5x +41 y-1 = -5(x-8) 5x +y -41 = 0
anonymous
  • anonymous
m being the gradient and c the intercept, usually the way thats most useful
anonymous
  • anonymous
gotcha...thank you for the help and for the extra examples. I really appreciate it!
anonymous
  • anonymous
no problem :D
anonymous
  • anonymous
one more question....would the equation be the same if I have two points rather than a slope? Examples points (0,4) and (1.-3)
anonymous
  • anonymous
sorry that should be (1,-3)
anonymous
  • anonymous
The slope is found using diff in y / diff in x
anonymous
  • anonymous
\[\frac{4-(-3)}{1}\] = -7 so the equation becomes y=-7x+4
anonymous
  • anonymous
so you subtracted the two y points from each other and the two x points from each other, than divide that to find the slope? so in the equation y represents the slope?
anonymous
  • anonymous
sorry missed the -1 in the denominator
anonymous
  • anonymous
The y represents the slope and the intercept y=Mx+C where M is the slope and C is where it crosses the y axis
anonymous
  • anonymous
So the equation represent the line
anonymous
  • anonymous
so in its fullness we get \[y= \frac{(4-(-3))}{(0-1)}x + 4\]
anonymous
  • anonymous
I see it now! :D
anonymous
  • anonymous
kewl :)
anonymous
  • anonymous
thank u for ur patience with me!

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