SOLUTION: Please help. "Use the form y=mx +b for linear equations. Write the equation for the following relation. C = {(x, y): (6, 15), (8, 21), (10, 27), . . .}"

Algebra ->  Functions -> SOLUTION: Please help. "Use the form y=mx +b for linear equations. Write the equation for the following relation. C = {(x, y): (6, 15), (8, 21), (10, 27), . . .}"       Log On


   



Question 956468: Please help. "Use the form y=mx +b for linear equations.
Write the equation for the following relation.
C = {(x, y): (6, 15), (8, 21), (10, 27), . . .}"

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Write the equation for the following relation.
C = {(x, y): (6, 15), (8, 21), (10, 27), . . .}
y=mx+%2Bb
we can first find a slope m using two given points (6, 15) and (8, 21)
m=%2821-15%29%2F%288-6%29=6%2F2=3
y=3x+%2Bb
now use any of given points, substitute x and y, solve for b
y=3x+%2Bb.....if x=8 and y=21, we have
21=3%2A8+%2Bb
21=24+%2Bb
21-24=b
b=-3
so, your equation is: highlight%28y=3x-3%29
let check if all points lie in a line: