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What is the x-intercept of the line with the equation -2x + 1/2y = 18?

User Murlakatam
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2 Answers

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-2x + (1/2)y = 18

(1/2)y = 2x + 18

y/2 = 2x + 18

y = 2*(2x + 18)

y = 2*2x + 2*18

y = 4x + 36

The x intercept is the value of x, when the y value is 0.

0 = 4x + 36

0 - 4x = 36

-4x = 36

x = 36/-4

x = -9

The x intercept is -9

I hope this helps.
User James Snook
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6 votes

Answer:

The x-intercept of the line with the equation is -9.

Explanation:

Given : Equation
-2x+(1)/(2)y=18

To find : What is the x-intercept of the line with the equation ?

Solution :

To find x-intercept we put y=0.

Equation
-2x+(1)/(2)y=18 substitute y=0,


-2x+(1)/(2)(0)=18


-2x=18


x=(18)/(-2)


x=-9

Therefore, The x-intercept of the line with the equation is -9.