=) pretty please?

Question

on a graph, where do these lines intersect (what are the points)?

the graph equations:
x= -4
y= -1/2x
y= -1/2x + 4

=( please help me out here!!!!!!!!!!!!!!!!!!

oops it isn't y= -1/2 it is 1/2

Answer 1

The last two lines have the same slope (-1/2). Having a different y-intercept value (0 vs 4), means they are parallel. They do not intersect each other at all.

Now you are only concerned where the first line(x=-4) intersects those two parallel lines. This is easy, because you can just substitute x=-4 into each equation and calculate y:

line 2:
y = -1/2 * x
y = -1/2 * (-4)
y = 2

The second line intersects x=-4 at (-4,2).

line 3:
y = -1/2 * x + 4
y = -1/2 * (-4) + 4
y = 2 + 4
y = 6

The third line intersects x=-4 at (-4,6)

Answer 2

You have the "X" coordinate. So don't you just plug X into the y equations? For example:
y= -1/2 (-4) y= 4/2 thus y=2 and

y= - 1/2(-4) +4 y= (4/2) + 4 thus y= 6

and X= ( - 4)

no?

Answer 3

2=-1/2(-4)
6=-1/2(-4)+4
(-4,2) and (-4,6)