IzabelaJ738178 IzabelaJ738178
  • 03-11-2022
  • Mathematics
contestada

Find both the x-intercept and the y-intercept of the line given by this equation 7.2x-9.6y-5.7=0

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KressidaE609413 KressidaE609413
  • 03-11-2022

To find the x intercept of the line we have to replace y for 0 and solve for x:

[tex]\begin{gathered} 7.2x-9.6y-5.7=0 \\ 7.2x-9.6(0)-5.7=0 \\ 7.2x-5.7=0 \\ 7.2x=5.7 \\ x=\frac{5.7}{7.2} \\ x=0.79 \end{gathered}[/tex]

To find the y intercept of the line we have to replace x for o and solve for y:

[tex]\begin{gathered} 7.2x-9.6y-5.7=0 \\ 7.2(0)-9.6y-5.7=0 \\ -9.6y-5.7=0 \\ -9.6y=5.7 \\ y=\frac{5.7}{-9.6} \\ y=-0.59 \end{gathered}[/tex]

It means that the x intercept is 0.79 and the y intercept is -0.59.

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