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 |