Respuesta :

ChoiSungHyun

Step-by-step explanation:

5x - 4y = 36

4y = 5x - 36

y = 1.25x - 9

Since this line has a slope of 1.25, the parallel line will also have a slope of 1.25.

=> y = 1.25x + c

When x = 8, y = 2.

=> (2) = 1.25(8) + c

=> 2 = 10 + c, c = -8

Hence the line equation is y = 1.25x - 8.

manissaha129

Answer:

[tex]5x - 4y = 36 \\ 4y = 5x - 36 \\ y = \frac{5}{4} x - 9[/tex]

When the point is (8,2) and slope is 5/4

[tex]y = mx + c \\ 2 = \frac{5}{4} \times 8 + c \\ 2 = 10 + c \\ \boxed{c = - 8} \\ [/tex]

Putting the value of c=-8, we get

[tex]y = \frac{5}{4} x - 8 \\ 4y = 5x - 32 \\ \boxed{5x - 4y = 32} \: is \: the \: required \: equation.[/tex]

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