Question

write an equation for the line that passes through the given point and has the given slope m (4,-5);m= -1/4

Answer 1

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Answer:
`\textsf{y = -1/4x - 4}`

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Given:
`\textsf{Slope = -1/4, Point through = (4, -5)}`

Find:
`\textsf{Equation for the line that passes through the given point}`

Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.

Plug in the values

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

• 
  `\textsf{y - (-5) = -1/4(x - 4)}`

Simplify and solve for y

• 
  `\textsf{y + 5 = -1/4(x - 4)}`

• 
  `\textsf{y + 5 = -1/4x + 1}`

• 
  `\textsf{y + 5 - 5 = -1/4x + 1 - 5}`

• 
  `\textsf{y = -1/4x - 4}`

Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.