Question 758418: please help me solve this problem:
Plot the points A(-6,7), B(2,-3), C(0,8), and D(-3,-1). What is the point of intersection of AB and CD?
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! Plot the points A( , ), B( , ), C( , ), and D(, ).
now find equations of the lines passing through  and  and draw them:
| Solved by pluggable solver: Find the equation of line going through points |
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (-6, 7) and (x2, y2) = (2, -3).
Slope a is  .
Intercept is found from equation  , or  . From that,
intercept b is  , or  .
y=(-1.25)x + (-0.5)
Your graph:
|
| Solved by pluggable solver: Find the equation of line going through points |
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (0, 8) and (x2, y2) = (-3, -1).
Slope a is  .
Intercept is found from equation , or  . From that,
intercept b is , or  .
y=(3)x + (8)
Your graph:
|
now we can go back and put these lines on a graph above
as you can see from a graph, the point of intersection of and is ( ,)
we can check it if we plug in  and  in  and 
 ......true
......true
|
|
|
