The first thing to not is that the only powers of x and y in the equation are one. That means the graph is a straight line. Any two points on a straight line determine the whole of the straight line. So solve the equation for x = 0 and for y = 0.
Thus,
when x = 0, the equation becomes y = 8 - 0 ie y = 8
so (0, 8) is a point on the graph.
and
when y = 0, the equation becomes 0 = 8 - x ie x = 8
so (8, 0) is another point on the graph.
Join up these two points and extend the line further in both directions.
X = 2, 2 X 2 X 2 = 8 - 8 = 0
x 3-8
for all x; (x + 19) - x = 19
X = 240
When y=4, x=8/5
x=1
6
If X - 8 = -1 then X = -1 +8 Therefore X = 7
14
x - 7 = 8 x = 7 + 8 x = 15
a constant y=x-3 dy/dx=0 a straight line
X = 2, 2 X 2 X 2 = 8 - 8 = 0
The graph of y = x - 8 is a straight line. The slope of the line is 1, and it intersects the y-axis at the point y = -8.
To graph them, you need to put them into the formula y=mx+b. If x+y=8 subtract x to get y=-x+8. 8 is the y-intercept and your line should be heading downward from left to right.
6
x 3-8
If: x-y = 4 and x-3y = 4 Then by solving the simultaneous equations: x = 4 and y = 0 So the lines intersect at (4, 0) which will be a vertical straight line