rileylovescats1 rileylovescats1
  • 11-11-2019
  • Mathematics
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Write the slope-intercept equation of the line parallel to 5y = 2x + 20 that goes through (-1, 3)

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BasketballEinstein
BasketballEinstein BasketballEinstein
  • 12-11-2019

Answer:

[tex]y = \frac{2}{5}x + 3\frac{2}{5}[/tex]

Step-by-step explanation:

This line was never finished, so you finish it like this:

[tex]\frac{5y}{5} = \frac{2x + 20}{5} → y = \frac{2}{5}x + 4[/tex]

3 = −⅖ + b

[tex]3\frac{2}{5} = b \\ \\ y = \frac{2}{5}x + 3\frac{2}{5}[/tex]

Parallel Lines have SIMILAR RATE OF CHANGES [SLOPES], so ⅖ remains the way it is.

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