Solve the system by graphing: In order to receive credit for this problem you must show all your work.
y=x+6
y=-3x+6
most of your graphing needs can be found at
http://rechneronline.de/function-graphs/
Just enter the functions (up to three)
For this one, you probably should change the y-range to -10 to 10
To solve the system of equations by graphing, we need to plot both equations on a coordinate plane and find the point where they intersect.
First, let's graph the equation y = x + 6. This is a linear equation in slope-intercept form, where the coefficient of x is 1 and the y-intercept is 6. To graph this equation, we can start by plotting the y-intercept at (0, 6).
Next, we can use the slope of 1 to find another point on the line. Since the slope is 1, we can move up one unit and to the right one unit from our initial point. This gives us the point (1, 7).
Now, we can connect the two plotted points to draw a straight line. This line represents the equation y = x + 6.
Next, let's graph the equation y = -3x + 6. This is another linear equation in slope-intercept form, where the coefficient of x is -3 and the y-intercept is 6. We can start by plotting the y-intercept at (0, 6).
Using the slope of -3, we can find another point on the line. Since the slope is -3, we can move down three units and to the right one unit from our initial point. This gives us the point (1, 3).
Now, we can connect the two plotted points to draw a straight line. This line represents the equation y = -3x + 6.
The point at which the two lines intersect is the solution to the system of equations. In this case, it appears that the lines intersect at the point (2, 8).
By graphing the equations and identifying the point of intersection, we have successfully solved the system. Remember to write down the coordinates of the solution point (2, 8) as your final answer.