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Find the x-intercept and the y-intercept for the graph of the following equation. 6x-5y=0

Find the xx-intercept and the yy-intercept for the graph of the following equation.\newline6x−5y=06x-5y=0

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Full solution

Q. Find the xx-intercept and the yy-intercept for the graph of the following equation.\newline6x−5y=06x-5y=0
  1. Find x-intercept: To find the x-intercept, we set yy to 00 and solve for xx.\newlineCalculation: 6x−5(0)=0⇒6x=0⇒x=06⇒x=06x - 5(0) = 0 \Rightarrow 6x = 0 \Rightarrow x = \frac{0}{6} \Rightarrow x = 0.
  2. Find y-intercept: To find the y-intercept, we set xx to 00 and solve for yy.\newlineCalculation: 6(0)−5y=0⇒−5y=0⇒y=0/−5⇒y=06(0) - 5y = 0 \Rightarrow -5y = 0 \Rightarrow y = 0/-5 \Rightarrow y = 0.

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