msfetty8426
msfetty8426 msfetty8426
  • 22-04-2022
  • Mathematics
contestada

graph the equation

2x + 3y = 9

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KennyOliver
KennyOliver KennyOliver
  • 22-04-2022

[tex]2x + 3y = 9\\3y = -2x + 9\\y = -\frac{2}{3}x + 3[/tex]

Look at the graph picture I attached

[tex]y = mx + c[/tex]

c is the intercept, which is why the graph crosses the y-axis at +3

to find where it crosses the x-axis, we make y = 0

[tex]y = 0\\\to -\frac{2}{3}x + 3 = 0\\-\frac{2}{3} = -3\\\frac{2}{3}x = 3\\2x = 9\\x = \frac{9}{2}\ \ (=4.5)[/tex]

Ver imagen KennyOliver
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