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Complete the equation of the line through (-9,-9) and (-6,0). Use exact numbers. y=

Complete the equation of the line through (−9,−9) (-9,-9) and (−6,0) (-6,0) . Use exact numbers.\newliney= y=

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Full solution

Q. Complete the equation of the line through (−9,−9) (-9,-9) and (−6,0) (-6,0) . Use exact numbers.\newliney= y=
  1. Find Slope: Find the slope of the line using the formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1} where (x1,y1)=(−9,−9)(x_1, y_1) = (-9, -9) and (x2,y2)=(−6,0)(x_2, y_2) = (-6, 0).
  2. Point-Slope Form: Use the point-slope form of the equation of a line, y−y1=m(x−x1)y - y_1 = m(x - x_1), substituting the slope m=3m = 3 and one of the points, for example, (−9,−9)(-9, -9).
  3. Simplify Equation: Simplify the equation from the previous step to get it into slope-intercept form y=mx+by = mx + b.
  4. Finalize Simplification: Finalize the simplification to get the equation in slope-intercept form y=mx+by = mx + b.

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