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Which equation does the graph below represent?

A coordinate grid is shown. The x-axis values are from negative 5 to positive 5 in increments of 1 for each grid line, and the y-axis values are from negative 15 to positive 15 in increments of 3 for each grid line. A line is shown passing through the ordered pairs negative 4, 12 and 0, 0 and 4, negative 12.

y = fraction negative 1 over 3x
y = −3x
y = 3x
y = fraction 1 over 3x

Which equation does the graph below represent A coordinate grid is shown The xaxis values are from negative 5 to positive 5 in increments of 1 for each grid lin class=

Respuesta :

indirasingh03
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

Hope this helps :)
Please give brainliest
JeanaShupp

Answer: [tex]y=-3x[/tex]

Step-by-step explanation:

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

[tex](y-a)=\dfrac{d-b}{c-a}(x-b)[/tex]

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

Then, equation of the line will be :-

[tex](y-0)=\dfrac{12-0}{-4-0}(x-0)\\\\ y=\dfrac{12}{-4}x\\\\ y=-3x[/tex]

Hence, the equation represented by the given graph :

[tex]y=-3x[/tex]