HeavanMoore
HeavanMoore HeavanMoore
  • 27-02-2022
  • Mathematics
contestada

Find the distance between each pair of parallel lines with the guven equation y=2x+7 y=2x-3

Respuesta :

iciclepiano18
iciclepiano18 iciclepiano18
  • 27-02-2022

Answer:

10

Step-by-step explanation:

The y-intercept for each line is...

y=2x+7 (0, 7)

y=2x-3 (0, -3)

Note this is because...

y=mx+b

b represents the y-intercept

Using the distance formula...

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

[tex]d=\sqrt{(0-0)^2+(7-(-3))^2[/tex]

[tex]d=\sqrt{0+(10)^2[/tex]

[tex]d=\sqrt{0+100}[/tex]

[tex]d=\sqrt{100}[/tex]

[tex]d=10[/tex]

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