Questions: Solve the system of equations by graphing: y=2x+8 y=-2x

Solution Steps

• Identify the y-intercept (0, 8) and plot it on the graph.
• Use the slope \( \frac{2}{1} \) to find another point. From (0, 8), move up 2 units and right 1 unit to plot the point (1, 10).
• Draw the line through these points.

• Identify the y-intercept (0, 0) and plot it on the graph.
• Use the slope \( \frac{-2}{1} \) to find another point. From (0, 0), move down 2 units and right 1 unit to plot the point (1, -2).
• Draw the line through these points.

• Observe where the two lines intersect on the graph.
• The intersection point is the solution to the system of equations.

Final Answer