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apologiabiology

6x-2y=-18

x intercept is where the line crosses the x axis or where y=0
set y=0 and solve for x

-6x-2y=-18
-6x-2(0)=-18
-6x-0=-18
-6x=-18
divide both sides by -6
x=3

xintercetps is x=3 or at point (3,0)

Answer:

The x- intercept is 3 for the given equation of straight line.

Step-by-step explanation:

We are given the following information in the question:

We are given the equation of line:

\(-6x-2y = -18\\\Rightarrow-2y = 6x -18\\\Rightarrow y = -3x + 9\)

x-intercept:

  • It is the point where the line passes the x-axis.
  • It can also be definesd as the point where y is zero.

To calculate the x - intercept, we follow the steps:

\(y = -3x + 9\\0 = -3x + 9\\\Rightarrow 3x = 9\\\Rightarrow x = 3\)

Hence, the x- intercept is 3 for the given equation of straight line and passes through the point (3,0).

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