Answer:
Solution: (-6,-3) See graph attached.
Explanation:
Solve by graphing means to graph each equation and find the intersection.
The first equation y=2x+9 is already in y=mx+b. To graph, find 9 on the y-axis and mark a point. This is b and the y-intercept. Then from 9 count up 2 units and to the right 1 unit. The slope 2 determines this point. Mark the point at (11,1). Connect the two points.
To graph the second, convert to y=mx+b using inverse operations to solve for y.
5x-10y=0
-10y=-5x
y=1/2 x
Start at (0,0) and mark a point. This is the y-intercept. To find the next point count up 1 unit and to the right 2 units. The slope is 1/2 and tells us this direction. Mark the point at (1,2). Connect the points.
The solution is the (x,y) point where they intersect. The point is (-6,-3).