For Roberts the equation is:
[tex]5y-x=-25[/tex]
to we can write it as slope intercept so:
[tex]\begin{gathered} 5y=x-25 \\ y=\frac{1}{5}x-5 \end{gathered}[/tex]
Now we replace x = 5 so
[tex]\begin{gathered} y=\frac{5}{5}-5 \\ y=1-5 \\ y=-4 \end{gathered}[/tex]
So the two points are ( 0 , -5) and ( 5 , -4)
Fo Hookthe equation is:
[tex]2x-5y=0[/tex]
In slope intercept is:
[tex]\begin{gathered} 5y=2x \\ y=\frac{2}{5}x \end{gathered}[/tex]
so we replace x = 5 so:
[tex]y=2[/tex]
So the two points are: ( 0 , 0) and ( 5 , 2 )
For Elizabeth the equation is:
[tex]y-6=\frac{1}{2}(x-2)[/tex]
and slope intercept:
[tex]\begin{gathered} y=\frac{1}{2}x-1+6 \\ y=\frac{1}{2}x+5 \end{gathered}[/tex]
now we replace x = 2 so:
[tex]\begin{gathered} y=1+5 \\ y=6 \end{gathered}[/tex]
So the coordinates are ( 0 , 5) and ( 2, 6 )
And for Silver the equation is:
[tex]4x-y+6=9[/tex]
In slope intercept is:
[tex]\begin{gathered} y=4x+6-9 \\ y=4x-3 \end{gathered}[/tex]
now we replace x = 1 so:
[tex]\begin{gathered} y=4-3 \\ y=1 \end{gathered}[/tex]
So the coordinates are: ( 0, -3) and ( 1, 1 )
So now you can made the graph of the lines and find the message.
