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Section 3-2 : Lines

For problems 1 & 2 determine the slope of the line containing the two points and sketch the graph of the line.

  1. \(\left( { - 2,4} \right),\,\,\,\left( {1,10} \right)\) Solution
  2. \(\left( {8,2} \right),\,\,\,\left( {14, - 7} \right)\) Solution

For problems 3 – 5 write down the equation of the line that passes through the two points. Give your answer in point-slope form and slope-intercept form.

  1. \(\left( { - 2,4} \right),\,\,\,\left( {1,10} \right)\) Solution
  2. \(\left( {8,2} \right),\,\,\,\left( {14, - 7} \right)\) Solution
  3. \(\left( { - 4,8} \right),\,\,\,\left( { - 1, - 20} \right)\) Solution

For problems 6 & 7 determine the slope of the line and sketch the graph of the line.

  1. \(4y + x = 8\) Solution
  2. \(5x - 2y = 6\) Solution

For problems 8 & 9 determine if the two given lines are parallel, perpendicular or neither.

  1. \(\displaystyle y = \frac{3}{7}x + 1\) and \(3y + 7x = - 10\) Solution
  2. \(8x - y = 2\) and the line containing the two points \(\left( {1,3} \right)\)and \(\left( {2, - 4} \right)\). Solution
  3. Find the equation of the line through \(\left( { - 7,2} \right)\) and is parallel to the line \(3x - 14y = 4\). Solution
  4. Find the equation of the line through \(\left( { - 7,2} \right)\) and is perpendicular to the line \(3x - 14y = 4\). Solution