Graph the system of equations, and determine the solution

To graph the system of equations and find the solution, follow these steps:

1. Identify the Equations:

– First Equation: ( y = -frac{1}{6}x + 3 )

– Second Equation: ( y = -frac{5}{6}x + 1 )

2. Graph the Equations:

– For the first equation, the y-intercept is 3. Plot the point (0, 3). The slope is -1/6, meaning for every 6 units you move to the right (positive x direction), move 1 unit down (negative y direction). From (0, 3), you could also plot points like (6, 2) and (12, 1).

– For the second equation, the y-intercept is 1. Plot the point (0, 1). The slope is -5/6, meaning for every 6 units you move right, move 5 units down. From (0, 1), you could plot points like (6, -4) and (12, -9).

3. Find the Intersection:

– Draw lines through the points you plotted for each equation. The solution to the system is where the two lines intersect.

4. Determine the Solution:

– From your graph, identify the coordinates of the intersection point. This point is the solution to the system of equations