Question

Solve the following system of equations graphically on the set of axes below.

a. y=-1/3x-4
b. y=2/3x+2

Answer 1

The solution to the system of equations graphically is the point of intersection between the lines
`\(y = -(1)/(3)x - 4\)` and
`\(y = (2)/(3)x + 2\).`

To solve the system of equations graphically, we'll plot the lines represented by the equations
`\(y = -(1)/(3)x - 4\)` and
`\(y = (2)/(3)x + 2\)` on the same set of axes.

1. Plotting
`\(y = -(1)/(3)x - 4\)`:

- Identify the y-intercept at (0, -4).

- Use the slope
`\(-(1)/(3)\)` to find additional points, such as (3, -5) and (-3, -3).

2. Plotting
`\(y = (2)/(3)x + 2\)`:

- Identify the y-intercept at (0, 2).

- Use the slope
`\((2)/(3)\)` to find additional points, such as (3, 4) and (-3, 0).

3. The solution to the system is the point where the two lines intersect.

Ensure you have correct scaling and accurate plotting. The point of intersection is the solution to the system.