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katrin2010 [14]
3 years ago
13

9/29/2020

Mathematics
2 answers:
Contact [7]3 years ago
8 0

Answer:  -2x + 5y = 8

Step-by-step explanation:

Since the lines must be parallel, the slopes must be the same, so keep the coefficients of x and y

Substitute the values of x and y from the given coordinate  (6,4) to find the new constant, b, the y-intercept.

-2x + 5y = b

-2(6) + 5(4) = b

-12 + 20 = b

8 = b

Rewrite the original equation substituting the new b for the original -15

-2x + 5y = 8

vovangra [49]3 years ago
8 0

Answer:

  • y = 2/5x + 8/5

Step-by-step explanation:

<u>Slope - intercept form</u>

  • y = mx + b

<u>Given line</u>

  • -2x + 5y = -15

<u>Converting the equation into slope-intercept form</u>

  • -2x + 5y = -15
  • 5y = 2x - 15
  • y = 2/5x - 3

<u>Parallel lines have same slope of 2/5</u>

  • y = 2/5x + b

<u>Using point (6, 4) lets find it's y-intercept (b)</u>

  • 4 = 2/5*6 + b
  • b = 4 - 12/5 = 8/5

<u>So the line is</u>

  • y = 2/5x + 8/5
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