Graph the system of equations. {x−y=64x+y=4 use the line tool to graph the lines.

Given equations are:
x-y=6 Equation 1
4x+y=4 Equation 2
First find the intercepts of both equations.
Equation 1:
x-y=6
when x=0
-y=6
y=-6  Ordered pair is (0,-6)
When y=0
x-0=6
x=6  Ordered pair is (6,0)
Now find the x and y-intercepts of equation 2.
4x+y=4
When x=0
4(0)+y=4
y=4 Ordered pair is (0,4)
When y=0
4x+(0)=4
4x=4
x=1 Ordered pair is (1,0)

Now graph these points, we get the attached graph. Both the lines intersect each other at (2,-4). Which is the solution.

(2,-4)

What the heck don’t understand

Y= -2x-1 the negative in front of the 2 is because the slope is negative and the -1 is because it’s down 1 on the y axis.