Respuesta :

y=3/5 x − 7 
slope = 3/5

parallel lines, slope is the same and slope = 3/5

passes through (15, 8)
b = y - mx
b = 8 - (3/5)(15)
b = 8 - 9
b = -1

equation
y = 3/5(x) - 1

Answer:

[tex]\displaystyle 3x - 5y = 5\:or\:y = \frac{3}{5}x - 1[/tex]

Step-by-step explanation:

8 = ⅗[15] + b

9

[tex]\displaystyle -1 = b \\ \\ y = \frac{3}{5}x - 1[/tex]

If you want it in Standard Form:

y = ⅗x - 1

- ⅗x - ⅗x

___________

−⅗x + y = −1 [We do not want fractions in our standard equation, so multiply by the denominator to get rid of it.]

−5[−⅗x + y = −1]

[tex]\displaystyle 3x - 5y = 5[/tex]

* Parallel Lines have SIMILAR RATE OF CHANGES [SLOPES], so ⅗ remains the way it is.

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