Solve the following system of equations graphically on the set of axes below. y = -1/4x + 4 5x – 4y = 8 Plot two lines by clicking the graph. Click a line to delete it.

To solve the system of equations graphically, follow these steps:

1. Convert the second equation to slope-intercept form (y = mx + b):

The second equation is:

[ 5x – 4y = 8 ]

Rearranging it to solve for ( y ), we get:

[ -4y = -5x + 8 ]

[ y = frac{5}{4}x – 2 ]

2. Identify the two equations:

You now have:

– First equation: ( y = -frac{1}{4}x + 4 )

– Second equation: ( y = frac{5}{4}x – 2 )

3. Graph the equations:

– For the first equation (( y = -frac{1}{4}x + 4 )), the y-intercept is 4. The slope is -1/4, meaning for every 4 units you move right, go down 1 unit.

– For the second equation (( y = frac{5}{4}x – 2 )), the y-intercept is -2. The slope is 5/4, meaning for every 4 units you move right, go up 5 units.

4. Find the intersection point:

Plot both lines on the same axes and look for the point