Question

{(a, b), (a + 2, b - 4) }

Answer 1

Answer:

$y=-2x+2a+b$

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(a, b), (a + 2, b - 4)

substitute the values in the formula

$m=\frac{b-4-b}{a+2-a}$

$m=\frac{-4}{2}$

$m=-2$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$          

we have              

$m=-2$          

$point\ (a,b)$            

substitute

$y-b=-2(x-a)$

step 3

Convert to slope-intercept form

$y=mx+b$

isolate the variable y

$y-b=-2x+2a$

$y=-2x+2a+b$