Question

If x and y are defined as indicated by the accompanying table, which equation correctly represent the relationship between X and Y? ​

Answer 1

Answer: D y=2x-3

First, we have to find the slope of the line given, by taking any 2 points from the table

`m=(y_2-y_1)/(x_2-x_1)\\ m=(3-1)/(3-2) \\m=2`

Now that we know the slope, we can substitute the values in the slope-intercept form of a linear equation, i.e.

y=mx+b

=>y=2x+b

To know b, we must substitute any point in the equation. So,

=>1=2(2)+b

=>1=4+b

=>b=1-4

=>b=-3

So our new equation would be y=2x-3