Linear Equation Rule?

Question

I need to find the rule for a linear equation on a graph..... I could use a site or answer please... I'm not really that good at doing this....

X=0 1 2 3 4
Y=-5 -3 -1 0 3 Rule:????

Answer 1

Your numbers must be wrong. The Y values would have to
be -5, -3, -1, 1, 3

putting these numbers in grid references you have:

(0,-5) (1,-3) (2,-1) (3,1) (4,3)

From these you can deduce that 2x - y = 5

I hope this answers your question.

Answer 2

When given 2 or more points on a line, use the slope-intercept method to determine the equation of the line in the form y=mx+b.

Lets take two points (x1=1,y1-3) and (x5=4,y5=3) points given to you above.

The slope (m) is (y5-y2) / (x5-x2) = (3 - (-3)) / (4 - 1) = 6 / 3 = 2.

The equation y=mx+b is now y=2x+b. To find the value for b (the intercept), plug in any point and solve for b.

For example, if we take the point (x=2, y=-1) and plug it in, we go from ...
y=2x+b --> -1 = 2*2 +b. Solving for b, we get b = -1 - 2*2 = -5

The equation of the line is y=2x -5