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Identify the equation of the graph shown.
A) y = 2x + 3
B) y = 2x - 3
C) y = -2x + 3
D) y = -2x - 3

Question

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 Identify the equation of the graph shown.
A)	y = 2x + 3	
B)	y = 2x - 3	
C)	y = -2x + 3	
D)	y = -2x - 3

mathstudent55 · Answer

All the options are in the y = mx + b form.
Are you familiar with the y = mx + b form of the equation of a line which is called the slope-intercept form?

gamenerd123 · Answer

Yes

mathstudent55 · Answer

Then it is very simple.
First, you need to look at the graph, and find the value of b, the y-intercept.
At what point on the y-axis, is the y-axis intersected by the graph of the line?

gamenerd123 · Answer

Its on 3, right?

mathstudent55 · Answer

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mathstudent55 · Answer

Correct.
That means that the correct equation must have a 3 where b is.
I must be of the form

y = mx + 3

mathstudent55 · Answer

Now we need to find m, the slope base on the graph.

gamenerd123 · Answer

So this would have to be either C or D, right?

mathstudent55 · Answer

Here is a useful figure for you to learn (and memorize).
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