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  • 01-12-2019
  • Mathematics
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What is the slope of the line depicted in this graph? Answer must be written in simplest form.​

What is the slope of the line depicted in this graph Answer must be written in simplest form class=

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gmany
gmany gmany
  • 01-12-2019

Answer:

[tex]\large\boxed{\bold{SLOPE}=\dfrac{1}{3}}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept (0, b)

The formula of a slope:

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

From the graph we have two points (0, 4) → b = 4, and (3, 5).

Calculate the slope:

[tex]m=\dfrac{5-4}{3-0}=\dfrac{1}{3}[/tex]

If you want the equation of a line, then put the value of m and b to the equation of a line:

[tex]y=\dfrac{1}{3}x+4[/tex]

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