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  • 26-01-2021
  • Mathematics
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Find the equation of the straight line passing through the points (–2, 3) and parallel to y=2x-1

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highwireact
highwireact highwireact
  • 26-01-2021

Answer:

[tex]y=2x+7[/tex]

Step-by-step explanation:

All parallel lines have the same slope, so in slope intercept form, our line is going to look like

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

To find b, we can plug in the x and y values from the given point (-2, 3) and solve:

[tex]3=2(-2)+b\\3=-4+b\\b=7[/tex]

So our equation becomes

[tex]y=2x+7[/tex]

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