Respuesta :

ediceland

Answer:

the slope is 1/5 which is none of these. y=1/5x+3 is the equation

Step-by-step explanation:

for every single y value that the graph goes up, it travels 5 units on the x axis.

rise over run is the way i remeber slope, rise is one for every 5 run. This has a slope of positive 1/5x.

The slope of the line is [tex]\dfrac{1}{5}[/tex]. So, the correct option is A.

Given:

The graph of the line.

To find:

The slope of the given line.

Explanation:

Slope formula: If a line passes through the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given graph it is clear that the line passes through the points [tex](0,2)[/tex] and [tex](5,3)[/tex]. So, the slope of the line is:

[tex]m=\dfrac{3-2}{5-0}[/tex]

[tex]m=\dfrac{1}{5}[/tex]

Therefore, the slope of the line is [tex]\dfrac{1}{5}[/tex] and the correct option is A.

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