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Complete the equation of the line through 
(3,-8) and 
(6,-4).
Use exact numbers.

y=

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Complete the equation of the line through (3,8) (3,-8) and (6,4) (6,-4) .\newlineUse exact numbers.\newliney= y= \newline \square

Full solution

Q. Complete the equation of the line through (3,8) (3,-8) and (6,4) (6,-4) .\newlineUse exact numbers.\newliney= y= \newline \square
  1. Use Point-Slope Form: Now, use the point-slope form of the equation of a line: yy1=m(xx1)y - y_1 = m(x - x_1). Choose one of the points, say (3,8)(3, -8), and plug in the values along with the slope. y(8)=43(x3)y - (-8) = \frac{4}{3}(x - 3) y+8=43x4y + 8 = \frac{4}{3}x - 4
  2. Plug in Values: Subtract 88 from both sides to get yy by itself.\newliney=(43)x48y = \left(\frac{4}{3}\right)x - 4 - 8\newliney=(43)x12y = \left(\frac{4}{3}\right)x - 12

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