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Hemo4

Answer: B) y=2x+1

Step-by-step explanation:

These are in slope intercept form which is y=mx+b

where m is the slope and b is the value of the y intercept

Since the y-intercept is 1 on this line that leaves us with A, B, and C

Using the communitive property on the equation in C we can make the equation go from y=1-2x to y=-2x+1

This is the same answer as A and since there can't be two of the same answer leaves B as the only possible answer.

Hi there!  

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I believe your answer is:  

[tex]B)\text{ } y=2x+1[/tex]

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Here’s why:  

  • Sometimes we can eliminate answers based on the signs of the slope and the y-intercept.
  • The graph shown has a positive slope and a positive y-intercept of one. (The line passes (0, 1).)
  • Options A and C are incorrect because they have a negative slope. You can also tell that option C is equivalent to option A (commutative property).
  • Option D is not correct because it has a negative y-intercept. The line would pass through (0, -1).
  • The correct answer is equation B. The signs of the slope and y-intercept are positive, much like the graph shown in the question.

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We can double check by algebraically working it out:

[tex]\boxed{\text{Slope:}}\\\\\text{Two points on the graph are } (-2,-3) \text { and } (1,3).\\\\m = \frac{3-(-3)}{1-(-2)}\\\\m= \frac{6}{3}\\\\\boxed{m=2} \\\\\text{The slope is 2.}[/tex]

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[tex]\boxed{\text{Y-Intercept:}}\\\\\text{The line passes through point (0, 1). The y-intercept is 1.}[/tex]

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[tex]\text{Using a slope intercept equation, we can develop the equation: } \boxed{y =2x+1}[/tex].

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Hope this helps you. I apologize if it’s incorrect.  

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