Answer:
A. one B. (3, 4)
Step-by-step explanation:
1. A good graph can answer both parts (see attached image).
2. Write equations for the two lines and find a simultaneous solution.
Line A: Slope from (2, 6) to (5, 0) is [tex]m=\frac{6-0}{2-5}=\frac{6}{-3}=-2[/tex]
Using point-slope form [tex]y-y_1=m(x-x_1)[/tex]
[tex]y-6=-2(x-2)\\y-6=-2x+4\\y=-2x+10[/tex]
Line B: Slopt from (6, 6) to (0, 2) is [tex]m=\frac{6-2}{6-0}=\frac{2}{3}[/tex]
Using point-slope form, the equation for Line B is
[tex]y-2=\frac{2}{3}(x-0)\\y=\frac{2}{3}x+2[/tex]
To find the simultaneous solution, set the y's equal.
[tex]-2x+10=\frac{2}{3}x+2\\-6x+30=2x+6\\-8x=-24\\x=3[/tex]
Find y using either equation to get y = 4.
