Question

Write an equation for that graph,where y depends on x. ____

Answer 1

y = -2x + 6

Steps:

y = mx + b

m is slope

b is the y-intercept

m = -2

b = 6

plug in m and b

y = -2x + 6

Answer 2

Answer: $y=-3x+6$

Step-by-step explanation:

The equation of a line (a,b) and (c,d) is given by :-

$(y-b)=\dfrac{d-b}{c-a}(x-a)$

From the given graph , the line is passing through (2,2) and (0,6) is given by :_

$(y-6)=\dfrac{6-0}{0-2}(x-0)\\\\\Rightarrow\ y-6=\dfrca{6}{-2}x\\\\\Rightarrow\ y=-3x+6$

Hence, the equation of the graph : $y=-3x+6$