Section 1.3 Homework

1. A line has the equation y = 2x + 3.

(a) This line has slope __

(b) Any line parallel to this line has slope __

(c) Any line perpendicular to this line has slope ____

2.  The point-slope form of the equation of the line with slope 8 passing through the point (5, 6) is

3.   For the linear equation 2x + 4y − 16 = 0, the x-intercept is _____ and the y-intercept is ____ . The equation in slope-intercept form is y = ____ . The slope of the graph of this equation is 

4.  The slope of a horizontal line is ____. The equation of the horizontal line passing through (3, 6) is ______

5. The slope of a vertical line is _____. The equation of the vertical line passing through (7, 2) is _____

6.  Find the slope of the line through P and Q.P(5, −5), Q(8, −1)

7.  Find the slope of the line through P and Q. P(−5, 1), Q(9, −4)

8  Find the slope of the line through P and Q. P(18, −2), Q(6, −3)

9.  Find the slopes of the lines l1, l2, l3, and l4 in the figure below.
line  l1  
line l2    
line l3    
line l4

10 . Find an equation for the line whose graph is sketched.

11. Find an equation for the line whose graph is sketched.

12.   Find an equation of the line that satisfies the given conditions. Through (4, 1);  slope 2

13. Find an equation of the line that satisfies the given conditions.

14.   Find an equation of the line that satisfies the given conditions. Through(−2, 5) and (−1, −3)

15.  Find an equation of the line that satisfies the given conditions. x-intercept −4;  y-intercept 6

16.  Find an equation of the line that satisfies the given conditions.  Through (−3, 2);   slope undefined

17. Find an equation of the line that satisfies the given conditions. Through (5, 2);   slope 0

18  Find an equation of the line that satisfies the given conditions. Through (1, 5);   parallel to the liney = 9x − 9

19. Find an equation of the line that satisfies the given conditions. Through (−1, −3);  perpendicular to the line 2x + 7y + 3 = 0

20.  Find an equation of the line that satisfies the given conditions.Through (5, 8);  parallel to the line passing through (6, 6) and (2, 2)

21. Find the slope and y-intercept of the line. (If an answer does not exist, enter DNE.)  2x − 7y = 0

slope

y intercept (x,y) =

22.   Find the slope and y-intercept of the line. (If an answer does not exist, enter DNE.)5x + 6y = 12

slope

y intercept (x,y) =

23.  Find the x– and y-intercepts of the line. 

x-intercept (x,y) =

y-intercept  (x,y) =

24.  The equations of two lines are given. Determine whether the lines are parallel, perpendicular, or neither. 

$y=\frac{1}{5}x+2; 5x + 25y = 4$

1. parallel
2. perpendicular
3. neither