Sec 1.10: Lines

1. Find the equation of each vertical line that passes through the point

(a) \(\displaystyle{(-2,5)}\)       (b) \(\displaystyle{(3,-7)}\).              Ans: (a) \( x = -2 \),  (b)  \( x = 3\).

2. Find the equation of each horizontal line that passes through the point

(a) \(\displaystyle{(2,-5)}\)      (b) \(\displaystyle{(-3,-2)}\).              Ans: (a) \( y = -5 \),  (b)  \( y = -2\).

3. What is the slope of a vertical line? What is the slope of a horizontal line?   (vertical line slope = undefined, horizontal line slope = 0)

4. Find the equation of the line passing through the point \(\displaystyle{(2,-5)}\) with slope 2. Write your answer in slope-intercept form.    solution

5. Find the equation of the line passing through the points \(\displaystyle{(-1,-2)}\) and \(\displaystyle{(-5,6)}\). Write your answer in slope-intercept form.   solution