Question

The graph of linear fiction passes through the point (2,11) and (6,21) write equation for the function

Answer 1

Slope intercept form of a linear equation: y = mx + b

(where m is the slope and b is the y-intercept)

`\mathsf{slope=(y_2-y_1)/(x_2-x_1)}`

(where
`\mathsf{(x_1,y_1)}` and
`\mathsf{(x_2,y_2)}` are points on the line)

Given:

• 
  `\mathsf{(x_1,y_1)=(2,11)}`
• 
  `\mathsf{(x_2,y_2)=(6,21)}`

`\mathsf{slope=(21-11)/(6-2)=2.5}`

`y=mx+b`

`11=2.5* 2+b`

`b=6`

`y=2.5x+6`