Solve the following system of linear equations by graphing graphing on your own piece of paper in your submitted answer describe what the grass looks like and what this tells you about the solution to the system linear equations.
Y = x + 3
-4x + 4y = 28
To graph the system of linear equations, we first need to put the second equation in slope-intercept form (y = mx + b):
-4x + 4y = 28
4y = 4x + 28
y = x + 7
Now we can graph both equations on the same set of axes:
Equation 1: y = x + 3
Plot the y-intercept at (0,3) and then use the slope of 1 to find another point. This line should be increasing from left to right.
Equation 2: y = x + 7
Plot the y-intercept at (0,7) and then use the slope of 1 to find another point. This line should also be increasing from left to right.
When we graph both lines, we see that they are parallel. This means there is no intersection point, indicating that the system of equations has no solution. This makes sense because parallel lines never intersect and therefore do not have a common solution.