SOLUTION: a) Solve by graphing: y = x + 4 y = -2x + 1 b) Tell what you can about the solution.

Algebra ->  Coordinate-system -> SOLUTION: a) Solve by graphing: y = x + 4 y = -2x + 1 b) Tell what you can about the solution.       Log On


   

Question 283656: a) Solve by graphing:
y = x + 4
y = -2x + 1
b) Tell what you can about the solution.
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
y = x +4 is shown in red.
y = -2x+1 is shown in green.
Graphing...
.
graph%28500%2C500%2C-10%2C10%2C-10%2C10%2Cx%2B4%2C-2%2Ax%2B1%29
.
The point of intersection is (-1,3), which is the single solution.
Since there is at least one solution, we can say the equations are consistent.
The y-intercept of y=x+4 is (0,4)
The x-intercept of y=x+4 is (-4,0)
The slope of y=x+4 = 1, so the line slopes up to the right.
The y-intercept of y=-2x+1 is (0,1).
The x=intercept of y=-2x+1 is (1/2,0).
The slope of y=-2x+1 is -2, so the line slopes down to the right.
.
Done.