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Sav [38]
3 years ago
6

What is the slope of the line depicted in this graph? Answer must be written in simplest form.​

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
8 0

Answer:

\large\boxed{\bold{SLOPE}=\dfrac{1}{3}}

Step-by-step explanation:

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

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept (0, b)</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

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

Calculate the slope:

m=\dfrac{5-4}{3-0}=\dfrac{1}{3}

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

y=\dfrac{1}{3}x+4

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Given:

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