✏️ANSWER
- ➣ [tex]Y = 10x - \frac{25}{2} [/tex]
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✏️SOLUTION
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Write the slope formula.
- [tex]m = \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } [/tex]
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Subtitute:
- [tex]m = \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } [/tex]
- (4, -2), (-6, -3)
- [tex]m = \frac{ - 3 - ( - 2)}{ - 6 - 4} [/tex]
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Solve the equation.
- [tex]m = \frac{ - 3 - ( - 2)}{ - 6 - 4} [/tex]
- [tex]m = \frac{1}{10} [/tex]
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Find the Slope
- [tex]m = \frac{1}{10} [/tex] Perpendicular.
- m = -10
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Write the Formula.
- Write the midpoint formula.
- [tex] \frac{ x_{1} + x_{2} }{2} \frac{ y_{1} + y_{2}}{2} [/tex]
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Subtitute.
- [tex] \frac{ x_{1} + x_{2} }{2} \frac{ y_{1} + y_{2}}{2} [/tex]
- [tex]( \frac{4 - 6}{2} \frac{ - 2 - 3}{2} )[/tex]
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Calculate.
- [tex] \frac{4 - 6}{2} [/tex]
- [tex] \frac{ - 2}{2} [/tex]
- -1
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Calculate.
- [tex] \frac{ - 2 - 3}{2} [/tex]
- [tex] \frac{ - 5}{2} [/tex]
- [tex] - \frac{5}{2} [/tex]
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Rewrite as a coordinates.
- [tex] - 1 - \frac{5}{2} [/tex]
- [tex]( - 1 \frac{5}{2} )[/tex]
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Write the equation.
- Write the equation of linear function.
- y = mx + b
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Subtitute
- y = mx + b
- [tex]m = - 10( - 1 - \frac{5}{2} )[/tex]
- [tex] - \frac{5}{2} = - 10 \times ( - 1) + b[/tex]
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Solve the equation.
- [tex] - \frac{5}{2} = - 10 \times ( - 1) + b[/tex]
- [tex] - \frac{5}{2} = 10 + b[/tex]
- [tex] - b = 10 + \frac{5}{2} [/tex]
- [tex] - b = \frac{20 + 5}{ 2} [/tex]
- [tex] - b = - \frac{25}{2} [/tex]
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Subtitute.
- y = mx + b
- [tex]m = - 10, b = - \frac{25}{2} [/tex]
- [tex]y = 10x - \frac{25}{2} [/tex]
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FINAL ANSWER:
- [tex]Y = 10x - \frac{25}{2} [/tex]
