Question

I already know x-y=-6 and the graph only goes up to 10

Answer 1

`\begin{gathered} y=-(3)/(5)x-2 \\ x-y=-6 \end{gathered}`

The second equation x - y = -6 can be written as:

`\begin{gathered} x-y=-6 \\ x+6=y \\ y=x+6 \end{gathered}`

With that, we have two equations equal to y. These are:

Equation 1: y = -3/5x - 2

Equation 2: y = x + 6

Based on the slope-intercept form, the y-intercept of equation 1 is -2 and its slope is -3/5. With that, the graph of this equation looks like this:

The x-intercept for equation 1 is at (-10/3 or -3.3333, 0)

Based on the slope-intercept form, the y-intercept of equation 2 is 6 and its slope is 1. With that, the graph of this equation looks like this:

The x-intercept for equation 1 is at (-6, 0).

Combining the graphs of the two equations, it will be:

The two lines intersected at (-5, 1). Therefore, x = -5 and y = 1.