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A line with a slope of −14-\frac{1}{4} passes through the point (−5,10)(-5,10). What is its equation in point-slope form?\newlineUse the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.\newliney−‾=‾(x−‾)y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})

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Q. A line with a slope of −14-\frac{1}{4} passes through the point (−5,10)(-5,10). What is its equation in point-slope form?\newlineUse the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.\newliney−‾=‾(x−‾)y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
  1. Identify Point-Slope Form: Identify the point-slope form of a linear equation.\newlinePoint-slope form: y−y1=m(x−x1)y - y_1 = m(x - x_1)
  2. Substitute Values: We have:\newlinePoint: (−5,10)(-5, 10)\newlineSlope: −14-\frac{1}{4}\newlineWhat is the point-slope form of the line?\newlineSubstitute −14-\frac{1}{4} for mm, −5-5 for x1x_1, and 1010 for y1y_1 in the point-slope form.\newliney−10=(−14)(x−(−5))y - 10 = \left(-\frac{1}{4}\right)(x - (-5))
  3. Simplify Equation: Simplify the equation.\newliney−10=(−14)(x+5)y - 10 = \left(-\frac{1}{4}\right)(x + 5)\newlineThis is the equation in point-slope form.

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