Solve graphically y = 2x - 6 and y = -2x + 10. Write down the co-ordinates of the point of intersection of the two lines
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OpenStudy (amistre64):
this site really isnt designed to draw a graph on ..
OpenStudy (anonymous):
i really just need help finding the coordinates so i can graph it
OpenStudy (amistre64):
im curious as to whether the y component is centered between you intercepts :)
OpenStudy (anonymous):
set the lines equal and solve
\[2x-6=-2x+10\]
OpenStudy (amistre64):
plug a point at -6 and slope up 2 right 1 and connect the dots
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OpenStudy (anonymous):
\[4x=16\]
\[x=4\] and since
\[x=4\] then
\[y=2\times 4-6=2\]
OpenStudy (amistre64):
y should be 2 if i see it right :)
OpenStudy (amistre64):
yep ... i sawed it right lol
OpenStudy (anonymous):
lol sweet thanks
OpenStudy (anonymous):
to find the points of intersection, set the equations equal to each other.
\[2x -6 = -2x + 10\]
\[4x = 16\]
x= 4
Then plug in the x coordinate to one of the equations.
y= 2(4) -6 = 2
The point is ( 4. 2)
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