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Determine the intercepts of the line. y=-9x-14y=−9x−14y, equals, minus, 9, x, minus, 14 xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))

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x-intercept is -14/9 and y-intercept is -14

Step-by-step explanation:

Given equation is:

[tex]y = -9x-14[/tex]

In order to find the x-intercept, y is put equal to zero in the equation. similarly, to find the y-intercept, x is put equal to zero in the equation

So,

Putting y = 0

[tex]0 = -9x-14\\0+9x = -9x-14+9x\\9x = -14\\\frac{9x}{9} = -\frac{14}{9}\\x = -\frac{14}{9}[/tex]

Putting x = 0

[tex]y = -9(0)-14\\y = 0-14\\y = -14[/tex]

Hence,

x-intercept is -14/9 and y-intercept is -14

Keywords: Intercepts, linear equation

Learn more about intercepts at:

  • brainly.com/question/4279146
  • brainly.com/question/4354581

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Answer:

x-intercept is -14/9 and y-intercept is -14

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