EwaJ619893 EwaJ619893
  • 03-11-2022
  • Mathematics
contestada

Can you help me with this assignment

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AnzalW292420 AnzalW292420
  • 03-11-2022

since the line that is wanted is parallel to the one given means that it has the same slope as this one.

1. write the line given in the slope-intercept form

[tex]\begin{gathered} 6x-5y=15 \\ -5y=15-6x \\ 5y=6x-15 \\ y=\frac{6}{5}x-3 \end{gathered}[/tex]

2. after having the slope find the y-intercept using the point given (5,4)

[tex]\begin{gathered} y=\frac{6}{5}x+b \\ 4=\frac{6}{5}\cdot(5)+b \\ 4=6+b \\ 4-6=b \\ -2=b \end{gathered}[/tex]

3. rewrite the equation

[tex]y=\frac{6}{5}x-2[/tex]

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