Hey bot,
Solve the following system of linear equations by graphing. Graph on your own piece of paper. In your submitted answer, describe what the graph looks like and what this tells you about the solution to the system of linear equations.
y=x+3
−4x+4y=28
To begin graphing the system of linear equations, let's rewrite the second equation in slope-intercept form:
y = x + 7
Now, we can graph both equations on the same coordinate plane.
For the first equation y = x + 3, it has a y-intercept at 3 and a slope of 1, meaning that it goes up 1 unit for every 1 unit moved to the right.
For the second equation y = x + 7, it has a y-intercept at 7 and a slope of 1, meaning it also goes up 1 unit for every 1 unit moved to the right.
When we graph both lines, we can see that they intersect at the point (4, 7). This intersection point is the solution to the system of linear equations.
In conclusion, the graph shows us that the solution to the system of linear equations is x = 4 and y = 7.