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Which equation represents the graphed function

Which equation represents the graphed function-example-1
User Jimp
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5 votes

Answer:

Explanation:

DDD

User Astreal
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4 votes

You can either use the usual formula for the equation of a line when given two points
(x_1,y_1),\ (x_2,y_2)


(x-x_1)/(x_2-x_1) = (y-y_1)/(y_2-y_1)

Or we can make some more precise reasoning, specific to this case: the y intercept is 3. When a line is written as
y=mx+q, the coefficient q is the y intercept. So, the second and third options are surely wrong.

Moreover, the slope m is the ratio between the difference bewteen the y coordinates and the x coordinates of two points on the line.

In our case, the two points differ by -1 units vertically, and 3 units horizontally. This implies that the slope is -1/3.

So, we have


y=mx+q,\quad m=-(1)/(3),\quad q=3\implies y=-(1)/(3)x+3

User Hraynaud
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