y=2x+8
x+y=-1
From the second you get x = -1-y, put in the first y=2*(-1-y)+8 then y = -2 y +6
3y = 6 => y = 2 and x = -3
x = 3 and y = 2 (3,2)
By a process of elimination and substitution the lines intersect at: (4, -7)
Their graphs are.
No, equations with the same slope do not intersect unless they are the same line.
They are all lines. Their equations are written in the slope-intercept form, where we clearly can see if they just intersect, or are perpendicular to each other, or parallel, or coincide.
4
Two straight lines that intersect.
At the point (2, 4).
-2
It works out that they intersect at: (4, -7)
The lines intersect at (3, 5)
We believe that those equations have no real solutions, and that their graphs therefore have no points of intersection.