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  • 12-10-2020
  • Mathematics
contestada

Write an equation in slope-intercept form for the line that passes through (3, 7) and is parallel to the line with equation y=3/4x-5

Respuesta :

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  • 12-10-2020

Answer:

[tex]y=\frac{3x}{4} +\frac{19}{4}[/tex]

Step-by-step explanation:

Plug-in given to the point-slope form:

m = 3/4

(the slope is the same for the other line as the two are parallel to each other)

(3 , 7)

[tex]y - 7 = \frac{3}{4} (x - 3)\\ y-7 = \frac{3}{4} x - \frac{9}{4} \\4( y-7) =( \frac{3}{4} x - \frac{9}{4})4\\ 4y - 28 = 3x - 9\\ 4y - 28 +28 = 3x - 9 + 28\\4y = 3x + 19\\\frac{4y}{4} =\frac{3x+19}{4} \\y=\frac{3}{4}x +\frac{19}{4}[/tex]

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