Here is a simple way to graph a linear equation. A linear equation is one that has a y term (a number times y), an x term and a constant (but no squares or cubes or square roots etc.):
Let x = 0 and use the equation to find y. This gives you one point on the graph: (0, -3)
Let y = 0 and use the equation to find x. This gives you another point on the graph (3, 0)
Plot these two points, join them with a line and extend in both directions.
However, this method gives only one point if the equation is of the form y = ax where a is some non-zero constant; and that point is (0,0)
In that case, use (1,a) as the second point.
(a) y = -3x + 1
y=-10x-4
graph
Graph and Table: http://i50.tinypic.com/szhr4k.png
Since y=14x is a perfect linear relation, the correlation would be 1.
(a) y = -3x + 1
12
x3
The graph shifts downward (negative y) by 9 units.
y=6
y = x2 is an (approximately) U shaped graph that is entirely above the x axis and is symmetric about the y axis. y = x3 is asymptotically negatively infinite when x is negatively infinite and positively infinite when x is positively infinite. It is symmetric about the line x+y=0.
the graph is moved down 6 units
y=x-2
y = -0.5x plus or minus any number
The equation has no slope. The graph of the equation is a straight line with a slope of -1 .
The graph of the equation y=8 is a horizontal line through the y-intercept of 8. This is because since y=8, any point on the graph will have a y-coordinate of 8. This is why it is a horizontal line through (0,8).
It is y = x + 4