SOLUTION: How do you make a now next rule from this table x-y 5-20 15-40 25-60 35-80

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Question 811161: How do you make a now next rule from this table
x-y
5-20
15-40
25-60
35-80
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
plot all given points and draw a line through
use two points to find the equation of a line:
Solved by pluggable solver: Find the equation of line going through points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (5, 20) and (x2, y2) = (15, 40).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%2840-20%29%2F%2815-5%29+=+2.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 2%2A5+%2Bb+=+10. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=20-2%2A5+=+10.

y=(2)x + (10)

Your graph:



so, your equation is:
y=2x+%2B+10 and all given points lie on a line:
x-y
5-20
15-40
25-60
35-80