Question

1. (expressions) the table below lists the coordinates of four points. if x represents any number in the first column, which expression can always be used to find the value of y in the second column.

coordinates

x	y
2	7
3	9
4	11

Explanation:

Step1: Find the slope

Slope $m = \frac{7-5}{2-1} = 2$

Step2: Find the y-intercept

Using $x=1,y=5$: $5 = 2(1) + b \Rightarrow b=3$

Step3: Form the equation

$y = 2x + 3$

Answer:

$y = 2x + 3$