goldenladyb07
goldenladyb07 goldenladyb07
  • 19-08-2021
  • Mathematics
contestada

find the equation of the line which is parallel to the line 5 x + 4y = 18 and makes an intercept of 2 units on the x-axis ​

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Аноним Аноним
  • 19-08-2021

Answer:

[tex]{ \underline{ \sf{equation \: is : \: y = - \frac{5}{4} x + 2 }}}[/tex]

Step-by-step explanation:

[tex]y = mx + c \\ 4y = - 5x + 18 \\ y = - \frac{5}{4} x + \frac{9}{2} [/tex]

since it is parallel, the gradients are the same; m = -5/4

[tex]y = - \frac{5}{4} x + 2[/tex]

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ma5007482
ma5007482 ma5007482
  • 19-08-2021

Answer:

y=-5x+2

Step-by-step explanation:

x intercept=2

points will be (2,0)

slope of given line:

4y=-5x+18

y=mx+c

comparing equation:

m=-5

lines are parallel so given slope is equal to required slope.

using point slope form:

y-0=-5(x-2)

y=-5x+2

Answer Link

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