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Paul
May 6, 2021

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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