jbates1120
jbates1120 jbates1120
  • 17-11-2021
  • Mathematics
contestada

Find the x and y intercepts of the graph of the linear equation. 3x + 6y= 12

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Paounn
Paounn Paounn
  • 17-11-2021

Answer:

(4;0) and (0;2)

Step-by-step explanation:

Option 1: We plug x= 0 to find the y intercept, and y=0 to find the x intercept.

[tex]x=0 \rightarrow 6y=12 \rightarrow y=2\\y=0 \rightarrow 3x=12 \rightarrow x=4[/tex]

Option 2: we get 1 at the RHS dividing by 12. The reciprocal of the x and y coefficients are the intercepts

[tex]\frac {3x}{12} + \frac{6y}{12}= 1 \rightarrow \frac x4 +\frac y2 = 1[/tex] intercepts are 4 and 2

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C1Riley C1Riley
  • 17-11-2021
X intercepts (4,0)
Y intercepts ( 0,2)
Answer Link

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