Question

Graphing Proportional Relationship

What is the constant of proportionality and the equation?

X 1 2 3 4 5
Y 6 8 10 12 14

Answer 1

`\boxed{Y=2X+4}\\`

Explanation:

`\begin{array}cX&Y&Y-6&(Y-6)/(2)&(Y-6)/(2)+1 \\---&---&---&---&---\\1&6&0&0&1\\2&8&2&1&2\\3&10&4&2&3\\4&12&6&3&4\\5&14&8&4&5\\---&---&---&---&---\\\end {array} \\\\\\X=(Y-6)/(2)+1 \\X-1=(Y-6)/(2)\\2*(X-1)=Y-6\\2X-2+6=Y\\\\\boxed{Y=2X+4}\\`