vthorncroft vthorncroft
  • 19-01-2021
  • Mathematics
contestada

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2y - x = 14

Respuesta :

cosmickid287
cosmickid287 cosmickid287
  • 19-01-2021

Answer:

[tex]y = \frac{1}{2} x + 7[/tex]

Step-by-step explanation:

Slope-intercept form is written as y = mx + b. So, the y must be isolated. Therefore, to answer this question, isolate the y in 2y - x = 14.

1) Move the x to the other side.

[tex]2y - x = 14\\2y =x+14[/tex]

2) Divide all terms by 2 to finally isolate x.

[tex]2y = x + 14\\\frac{2}{2}y= \frac{x}{2} + \frac{14}{2} \\y = \frac{1}{2} x + 7[/tex]

3) Therefore, [tex]y = \frac{1}{2} x + 7[/tex] must be the answer.

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