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PoeticAesthetics

Remember that the slope intercept formula is:

y = mx + b

m is the slope ([tex]\frac{rise}{run}[/tex])

b is the y-intercept

In this case the slope is...

[tex]\frac{-1}{3}[/tex]

^^^This has a negative slope because the line is decreasing from left to right

The y-intercept is...

(0, -2)

so...

y = [tex]\frac{-1}{3}[/tex]x - 2

Hope this helped!

~Just a girl in love with Shawn Mendes

gmany

Answer:

[tex]\large\boxed{y=-\dfrac{1}{3}x-2}[/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

The formula of a slope:

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

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From the graph we have x-intercept (-6, 0) and y-intercept (0, -2) → b = -2.

Calculate the slope:

[tex]m=\dfrac{-2-0}{0-(-6)}=\dfrac{-2}{6}=-\dfrac{1}{3}[/tex]

Put the value of the slope m = -1/3 and the value of the y-intercept b = -2 to the equation of a line:

[tex]y=-\dfrac{1}{3}x-2[/tex]

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