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{{ printedBook.courseTrack.name }} {{ printedBook.name }} Let's recall the slope-intercept form of a line. $y=mx+b$ Here, $m$ represents the slope and $b$ the $y-$intercept. Let's identify the slope and the $y-$intercept of the line in the graph.

Consider the given graph.

We can see that the function intercepts the $y-$axis at the point $(0,2).$ This means the $y-$intercept is $b=2.$

To find the slope, we will trace along the line of the given graph until we find a lattice point, which is a point that lies perfectly on the grid lines. By doing this, we will be able to identify the slope using rise and run of the graph.

Here we have identified $(5,-1)$ as our second point. From the $y-$intercept to this point, we move $5$ steps horizontally in the positive direction. Then, we move $3$ steps vertically in the negative direction. $m=runrise =5-3 ⇔m=-53 $

Now that we have the slope and the $y-$intercept, we can write our final equation. $y=mx+b⇒y=-53 x+2$ The correct choice is D.