Question

Write an equation for the line parallel to the given line that contains C.
C (1,8); 5/7x + 7

Answer 1

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Answer:
`\textsf{y = 5/7x + 51/7}`

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Given:
`\textsf{Goes through (1, 8) and is parallel to y = 5/7x + 7}`

Find:
`\textsf{Write an equation that follows that criteria}`

Solution: We know that our equation is going to parallel to the line that was given therefore the slope would stay the same at 5/7. We also have a point so we can plug in the values into the point-slope form, distribute, and solve for y.

Plug in the values

• 
  `\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}`

• 
  `\textsf{y - 8 = 5/7(x - 1)}`

Distribute

• 
  `\textsf{y - 8 = (5/7 * x) + (5/7 * (-1))}`

• 
  `\textsf{y - 8 = 5/7x - 5/7}`

Add 8 to both sides

• 
  `\textsf{y - 8 + 8 = 5/7x - 5/7 + 8}`

• 
  `\textsf{y = 5/7x - 5/7 + 8}`

• 
  `\textsf{y = 5/7x + 51/7}`

Therefore, the final equation that follows the description that was provided in the problem statement is y = 5/7x + 51/7.