waheguru
  • waheguru
Find the Equation of the Line that has the same y-intercept as y=-3x+4 and same x intercept as 4x-8y=20 Please guide me through this question
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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waheguru
  • waheguru
Hello Mr.GT, Nice to see you =)
waheguru
  • waheguru
Have exams tommorow
anonymous
  • anonymous
First equation y-intercept is 4 (where x =0). Second equation x-intercept is 5 (where y = 0) So, the points this new line passes through are (0,4) and (5,0). Now, find the equation of this line as you would find for any two points.

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waheguru
  • waheguru
I see
waheguru
  • waheguru
So it's a straight line?
waheguru
  • waheguru
Horizontal or vertical
anonymous
  • anonymous
Yes. |dw:1327605083893:dw|
anonymous
  • anonymous
Always best to mark the points in a coordinate plane and connect to get a visual sense of the line and its direction.
waheguru
  • waheguru
The slope is 4/5 but is the x intercept also 5, making the equation y=4/5x + 5
waheguru
  • waheguru
But according to the answers, this is wrong?
anonymous
  • anonymous
Welll....slope is -4/5. You should use "y intercept" not "x intercept" for the constant.
anonymous
  • anonymous
Slope = (4-0)/(0-5) = -4/5
waheguru
  • waheguru
oooooook
waheguru
  • waheguru
what is the y intercept, also -4
anonymous
  • anonymous
Just looking at the line you can tell slope is negative because as "x" increases, value of "y" keeps decreasing.
anonymous
  • anonymous
Y intercept is +4 as given by point (0,4).
waheguru
  • waheguru
I get it now
waheguru
  • waheguru
Thank You For your Help
anonymous
  • anonymous
Good!
waheguru
  • waheguru
=)

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