JustinoC385712 JustinoC385712
  • 25-10-2022
  • Mathematics
contestada

Find the equation of a line parallel to the line y = −5/4x + 7. Write the equation in Standard Form (Ax + By = C).

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EldaS231600 EldaS231600
  • 25-10-2022

The equation to be found is parallel to

[tex]y=2x+5[/tex]

2 lines that are parallel have the same slope. Therefore,

[tex]\begin{gathered} m_1=m_2 \\ m_2=2 \end{gathered}[/tex]

The equation to be found is containing the point (3, 3)

[tex]\begin{gathered} y=mx+b \\ \text{where} \\ m=\text{slope} \\ b=y-\text{intercept} \\ 3=2(3)+b \\ 3-6=b \\ b=-3 \end{gathered}[/tex][tex]y=2x-3[/tex]

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