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Write the equation of the line that passes through the points (6,6) and (-5,-5). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line. Answer:

Write the equation of the line that passes through the points (6,6) (6,6) and (−5,−5) (-5,-5) . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.\newlineAnswer:

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Write a linear equation from a slope and y-interceptright chevron icon

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Q. Write the equation of the line that passes through the points (6,6) (6,6) and (−5,−5) (-5,-5) . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.\newlineAnswer:
  1. Calculate slope: Calculate the slope mm of the line using the formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}. Using the points (6,6)(6,6) and (−5,−5)(-5,-5), we have: m=−5−6−5−6=−11−11=1m = \frac{-5 - 6}{-5 - 6} = \frac{-11}{-11} = 1
  2. Choose point: Choose one of the points to use in the point-slope form equation. We can use either (6,6)(6,6) or (−5,−5)(-5,-5). Let's use (6,6)(6,6).
  3. Write equation: Write the point-slope form equation using the slope from Step 11 and the point from Step 22.\newlineThe point-slope form is y−y1=m(x−x1)y - y_1 = m(x - x_1).\newlineSubstituting the slope m=1m = 1 and the point (6,6)(6,6), we get:\newliney−6=1(x−6)y - 6 = 1(x - 6)
  4. Simplify equation: Simplify the equation if necessary. In this case, the equation is already in the simplest form. y−6=1(x−6)y - 6 = 1(x - 6)

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