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Write an equation parallel to x-4y=20 that passes through the point 2,-5 Step by step please please please please please please please please please please please please please helpppppppppppppppppppppppppppppp

Respuesta :

Y=x over 4 minus 11 over 2
Y=x/4 - 11/2

x-4y=20

Isolate y

[tex]\\ \sf\longmapsto x-20=4y[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{1}{4}x-5[/tex]

  • m=1/4
  • Parallel lines have equal slope

Equation of line in point slope form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y+5=1/4(x-2)[/tex]

[tex]\\ \sf\longmapsto 4y+20=x-2[/tex]

[tex]\\ \sf\longmapsto x-4y+22=0[/tex]

Done