Question

Find equation of linear function in slope intercept form. Simplify

Answer 1

We find the slope by dividing changes in the y coordinate by the changes in the x coordinate:

$\dfrac{-5-0}{2-1}=\dfrac{-5}{1}=-5$

So, our line comes in the form

$y=-5x+b$

Plug in one of the (x,y) pairs from the table to get the value of b. For example, if we use the first row we have

$0=-5\cdot 1+b \iff b=5$

So, the equation of the line is

$y=-5x+5$