Example Problems Answers

1. Graph using x and y intercepts:  3x - 4y = 15 

  3x=15        -4y = 15
     x = 5        y  = -3 3/4

2. Graph using slope and y intercept:  y = -4x+2

y-intercept is 2
slope is -4/1

3. Write slope intercept form of the line that has slope -2 and
    passes through (-5,3). 
   y - 3 = -2(x + 5)   
                                      y -3 = -2x - 10
                                        y = -2x - 7

4. Write slope intercept form of the line that passes through
    (6,-2) and (5,4).   
                

m =

-2-4 = -6 y+2=-6(x-6)
6-5 1 y = -6x+34

5. Write slope intercept form of the line parallel to y = 5x-3 and
    passes through (7,4). 
  m = 5
     y - 4 = 5(x - 7)          y-4 = 5x-35
        y = 5x - 31

6. Write slope intercept form of the line perpendicular to
    3x+4y=10 and passes through (3,-2).

   
solve for y to find slope - 4y = -3x + 10
                                            y = 3/4x - 10/4     m = 3/4
        y+2=3/4(x-3)     y+2=3/4x-2 1/4    y=3/4x -4 1/4

7. Write slope intercept form of the line that has slope of -6 and
    has x intercept of 7.
 make x int a point (7,0)
        y-0= -6(x-7)    y= -6x + 42

8. Write slope intercept form of the line that passes through
    (-8,-3) and (-6,2).
               

m =

-3-2 = 5 y+3= 5/2(x+8)
-8+6 2 y+3 = 5/2x+20 then y=5/2x+17