Question 131912
Do you know how to solve a system of two linear equations?  If so, all you are being asked to do is to solve three different 2 variable/2 equation systems.


y = x; y = 0


y = x; 2x + 3y = 10


y = 0; 2x + 3y = 10


(Remember, y = 0 is the x-axis)


Each pair of equations will have a single ordered pair as a solution, so you will have three ordered pairs when you have solved all three systems.  Those three ordered pairs will be the vertices of the triangle.


{{{drawing(600,600,-6,6,-6,6,
grid(1),
graph(600,600,-6,6,-6,6,0,x,-2x/3+10/3),
locate(1.5,.7,the Triangle),
circle(0,0,.1),
circle(5,0,.1),
circle(2,2,.1)
)}}}