Question

Which equation represents the graphed function

Answer 1

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

$\dfrac{x-x_1}{x_2-x_1} = \dfrac{y-y_1}{y_2-y_1}$

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

$y=mx+q,\quad m=-\dfrac{1}{3},\quad q=3\implies y=-\dfrac{1}{3}x+3$

Answer 2

Answer:

Step-by-step explanation:

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