SOLUTION: Plot the points and determine their slope. Graph the line 1.(2,3);(4,0) 2. (-2,3);(2,1) (-1,2);(-1,-2)

Algebra ->  Linear-equations -> SOLUTION: Plot the points and determine their slope. Graph the line 1.(2,3);(4,0) 2. (-2,3);(2,1) (-1,2);(-1,-2)      Log On


   

Question 1123753: Plot the points and determine their slope. Graph the line
1.(2,3);(4,0)
2. (-2,3);(2,1)
(-1,2);(-1,-2)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Plot the points and determine their slope. Graph the line

1.(2,3);(4,0)
Plot the points:


determine their slope:
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%280-3%29%2F%284-2%29
m=-3%2F2

so far, the equation of a line is : y=-%283%2F2%29x%2Bb
since bis y-intercept, using given point (4,0) and m=-3%2F2 calculate b
0=%28-3%2F2%29%2A4%2Bb
0=%28-3%2Fcross%282%29%29%2Across%284%292%2Bb
0=-3%2A2%2Bb
0=-6%2Bb
6=b
so, you have y=-%283%2F2%29x%2B6

graph:




2.
(-2,3);(2,1)


determine their slope:
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%281-3%29%2F%282-%28-2%29%29
m=-2%2F%282%2B2%29
m=-2%2F4
m=-1%2F2
so far, the equation of a line is : y=-%281%2F2%29x%2Bb
y=-%281%2F2%29x%2Bb plug in (x=2,y=1)
1=-%281%2F2%292%2Bb
1=-%281%2Fcross%282%29%29cross%282%29%2Bb
1=-1%2Bb
b=2
your line is: y=-%281%2F2%29x%2B2



3.
(-1,2);(-1,-2)


determine their slope:
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%28-2-2%29%2F%28-1-%28-1%29%29
m=%28-4%29%2F%28-1%2B1%29
m=%28-4%29%2F0
Since you CANNOT divide by 0, this means that the slope of the line is undefined. The slope of a vertical line is undefined.

in both of your given points x is -1 and y are different

so, your line is vertical line x=-1: x is always same and y+ can be anything