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Complete the equation of the line through (-8,8) and (1,-10). Use exact numbers. y=

Complete the equation of the line through (−8,8) (-8,8) and (1,−10) (1,-10) . Use exact numbers.\newliney=□+x‾‾‾ y=\square \underline{+\underline{\underline{x}}}

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Full solution

Q. Complete the equation of the line through (−8,8) (-8,8) and (1,−10) (1,-10) . Use exact numbers.\newliney=□+x‾‾‾ y=\square \underline{+\underline{\underline{x}}}
  1. Find Slope: Find the slope (m) using the formula m=y2−y1x2−x1 m = \frac{y_2 - y_1}{x_2 - x_1} .\newlineCalculation: m=−10−81−(−8)=−189=−2 m = \frac{-10 - 8}{1 - (-8)} = \frac{-18}{9} = -2 .
  2. Point-Slope Form: Use the point-slope form y−y1=m(x−x1) y - y_1 = m(x - x_1) with point (−8-8, 88).\newlineCalculation: y−8=−2(x+8) y - 8 = -2(x + 8) .
  3. Simplify Equation: Simplify the equation to get it in slope-intercept form y=mx+b y = mx + b .\newlineCalculation: y−8=−2x−16 y - 8 = -2x - 16 .
  4. Isolate y: Add 88 to both sides to isolate y.\newlineCalculation: y=−2x−16+8 y = -2x - 16 + 8 .
  5. Simplify Right Side: Simplify the right side.\newlineCalculation: y=−2x−8 y = -2x - 8 .

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