Question 58646
My problems states" What are the coordinates of the point of intersection of y=3x-2 and y=3-2x?
Graphically, you can graph each line on graphing paper or in your graphing calculator and find their point of intersection:
:
For y=3x-2, let x=0 and solve for y
y=3(0)-2
y=0-2
y=-2  Plot (0,-2)
Now let x=1 and solve for y:
y=3(1)-2
y=3-2
y=1  Plot (1,1)
Connect the points and you have this line:
{{{graph(300,200,-10,10,-10,10,3x-2)}}}
For y=3-2x, let x=0 and solve for y:
y=3-2(0)
y=3-0
y=3  Plot (0,3)
Now let x=1 and solve for y:
y=3-2(1)
y=3-2
y=1  Plot (1,1)  (we coincidentally found their point of intersection (1,1) but lets look at the graph anyway.)
Connect the points and you have a second line, with a point of intersection at (1,1):
{{{graph(300,200,-10,10,-10,10,3x-2,3-2x)}}}
Happy Calculating!!!