Answer:
Step-by-step explanation:
1. Add the equations. The y's cancel out.
2. Embed x in either equation and find y.
1. Isosceles, right.
2. Scalene, right.
3. Equilateral, acute.
4. Scalene, acute.
5. Isosceles, acute.
6. Scalene, obtuse.
7. Scalene, obtuse.
8. Scalene, obtuse.
9. Equilateral, acute.
10. Isosceles, obtuse.
get the equation in slope intercept form
2x-3y=9
subtract 2x from each side
-3y = -2x +9
divide by -3
y = 2/3 x -3
slope = 2/3
y intercept = -3
x intercept set y=0 and solve
0 = 2/3 x -3
add 3 to each side
3 = 2/3 x
multiply each side by 3/2
9/2 = x
the x intercept is 9/2 or 4 1/2