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Vanessa will graph the lines y=(1/3)x + 7 and y=2x+5. What is the sum of the x-coordinates of the two lines' x-intercepts? Express your answer as a decimal to the nearest tenth.

Thanks!

 Jun 10, 2019
 #1
avatar+107 
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The x intercept of a graph is the point where y=0 so the point is (x,0)

 

To find the x intercept of a line, set y to 0 and solve for x.

 

0=(1/3)x+7

subtract 7

-7=(1/3)x

multiply by 3

-21=x

so the x intercept is (-21,0)

 

0=2x+5

subtract 5

-5=2x

divide by 2

-2.5=x

and the x intercept is (-2.5,0)

 

Add the x intercepts together:

-2.5+-21=\(\boxed{-23.5}\)

.
 Jun 11, 2019
 #2
avatar+248 
0

Thanks!

sinclairdragon428  Jun 11, 2019

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