point of intersection of 2x+y=1 and x/8+y/4=1
To find the point of intersection of these two lines, we can solve the equations simultaneously.
First, we can rewrite the equations in the form y = mx + b:
1) 2x + y = 1
y = -2x + 1
2) x/8 + y/4 = 1
y = -2x + 4
Now that we have both equations in slope-intercept form (y = mx + b), we can set them equal to each other and solve for x:
-2x + 1 = -2x + 4
1 = 4
This equation is inconsistent, so the two lines do not intersect.