Question

Which equation does the graph below represent?

Answer 1

Y = mx + b

The change in y over teh change in x = -12/4 = -3

y= -3x + b

b = y-int. (0)

Answer : y = -3x

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Answer 2

Answer: $y=-3x$

Step-by-step explanation:

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

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

In the given graph , the line is passing through (0,0) and (-4,12).

Then, equation of the line will be :-

$(y-0)=\dfrac{12-0}{-4-0}(x-0)\\\\ y=\dfrac{12}{-4}x\\\\ y=-3x$

Hence, the equation represented by the given graph :

$y=-3x$