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.
- \(\left( { - 2,4} \right),\,\,\,\left( {1,10} \right)\) Solution
- \(\left( {8,2} \right),\,\,\,\left( {14, - 7} \right)\) 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.
- \(\left( { - 2,4} \right),\,\,\,\left( {1,10} \right)\) Solution
- \(\left( {8,2} \right),\,\,\,\left( {14, - 7} \right)\) Solution
- \(\left( { - 4,8} \right),\,\,\,\left( { - 1, - 20} \right)\) Solution
For problems 6 & 7 determine the slope of the line and sketch the graph of the line.
For problems 8 & 9 determine if the two given lines are parallel, perpendicular or neither.
- \(\displaystyle y = \frac{3}{7}x + 1\) and \(3y + 7x = - 10\) Solution
- \(8x - y = 2\) and the line containing the two points \(\left( {1,3} \right)\)and \(\left( {2, - 4} \right)\). Solution
- Find the equation of the line through \(\left( { - 7,2} \right)\) and is parallel to the line \(3x - 14y = 4\). Solution
- Find the equation of the line through \(\left( { - 7,2} \right)\) and is perpendicular to the line \(3x - 14y = 4\). Solution