Graph the equations to solve the systemy= x+4y= -x-6

You can plot lines by extrapolating two points and connecting them. To extrapolate points on the graph, choose whatever value for x you like, and calculate the correspondent y value.Line y = x+4:[tex]\text{choose } x=0 \implies y = 0+4 =4 \implies (0,4) \text{ is on the line}[/tex][tex]\text{choose } x=1 \implies y = 1+4 =5 \implies (1,5) \text{ is on the line}[/tex]Line y = -x-6:[tex]\text{choose } x=-3 \implies y = -(-3)-6 =-3 \implies (-3,-3) \text{ is on the line}[/tex][tex]\text{choose } x=-6 \implies y = -(-6)-6 =0 \implies (-6,0) \text{ is on the line}[/tex]Now draw the first two points (0,4) and (1,5) and connect them. You have the first line. Draw the last two points (-3,-3) and (-6,0) and connect them. You have the second line.You should find out that the two lines cross at (-5,-1)