Mathematics: 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

mdiaz487

11.01.2022

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

Step-by-step explanation:

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

y=mx+b

m - slope

b - y-intercept (0, b)

The formula of a slope:

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

From the graph we have two points (0, 4) → b = 4, 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 m and b to the equation of a line:

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

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journeyhile5

22.02.2020

Step 2: (x + 4)(x + 2) = 8

Step-by-step explanation:

x2 + 6x + 8 = 0

x2 + 4x + 2x + 8 = 0

x(x + 4) + 2(x + 4) = 0

(x + 2)(x + 4) = 0

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