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earnstyle [38]
2 years ago
8

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

Mathematics
1 answer:
EastWind [94]2 years ago
5 0

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{y = -1/4x - 4}

-------------------------------------------------------------------------------------------------------------

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.

<u>Plug in the values</u>

  • \textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}
  • \textsf{y - (-5) = -1/4(x - 4)}

<u>Simplify and solve for y</u>

  • \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.

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Answer:

Day\ 3 = 16237

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Day\ 2 = 16550

Step-by-step explanation:

Given

Day\ 1 = 16390

Day\ 2 = 16550

Day\ 3 = 16237

Required

Order from least to greatest

Comparing 16390, 16550 and 16237.

The order of arrangement from least to greatest is:

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So, we have:

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Answer:

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By Pythagoras Theorem:

{y}^{2}  =  {12}^{2}  +  {x}^{2} \\  \\  {y}^{2}  =  {12}^{2}  +  {36}^{2}  \\  \\  {y}^{2}  = 144 + 1296 \\  \\  {y}^{2}  = 1440 \\  \\ y =  \sqrt{1440}  \\  \\  y = 37.95

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