kennellkylee kennellkylee
  • 15-11-2018
  • Mathematics
contestada

What line is parallel to 2x-3y=6 and passes through the point (0,3)

Respuesta :

MrGumby
MrGumby MrGumby
  • 15-11-2018

Answer:

The equation is y = 2/3x + 3

Step-by-step explanation:

First we have to find the slope of the line. In order to do so, solve the first equation for y.

2x - 3y = 6

-3y = -2x + 6

y = 2/3x - 2

This gives us a slope of 2/3. Given that information, we now can plug the slope and point into point-slope form and get the final equation.

y - y1 = m(x - x1)

y - 3 = 2/3(x - 0)

y - 3 = 2/3x

y = 2/3x + 3

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