Your classmate wants you to check her work. She is working on a math question that asks her to determine the slope of a line given on a graph. You can see that the graph is a line, and that the line is increasing. Your classmate says that it’s a positive slope but you are not sure of the explanation. She tells you that she went down 5 units and to the left 3 units to the next point on the line to determine the slope. Determine if your classmate is correct and explain why or why not.

Respuesta :

The answer of my classmate that the line has a positive slope is CORRECT. This is because the line is most likely to lean to the right. The slope can be calculated through the equation, 
                                    slope = rise / run = change in y / change in x
If both are negative, the slope is POSITIVE. 

According to the statements given, My classmate is Correct .

To solve this question firstly we will understand the statements accordingly,

Given :

→ My friend is solving a math Graph question

→ The graph is a line

→ She says says that it’s a positive slope, adding to that she     says she went down 5 units and to the left 3 units to the next point on the line to determine the slope

→ I have to identify whether she is correct or not

Property of slope

We knows that in the graph, the line is always be like to lean to the right. The slope can be calculated by the given equation.

                                 [tex]\rm Slope = \dfrac{rise}{run} =\dfrac{change\; in\; y }{change \;in\; x}[/tex]

So, according to the concept, the answer of my classmate is  correct i.e that in the graph the line has a positive slope.

Therefore,If given both are negative, then the slope will be positive.

 

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