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Vika [28.1K]
3 years ago
11

Write the equation in slope intercept form.

Mathematics
2 answers:
astraxan [27]3 years ago
5 0

\bf y+2=\cfrac{1}{3}(x-6)\implies y+2=\cfrac{1}{3}x-2 \\\\\\ y=\cfrac{1}{3}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

xxTIMURxx [149]3 years ago
3 0

Answer:

y =  \frac{1}{3} x - 4

Step-by-step explanation:

<u>Given</u><u> </u><u>eq</u><u>uation</u><u> </u><u>:</u><u>-</u><u> </u>

y  + 2 =  \frac{1}{3} (x - 6)

• Slope intercept form is

<em>y</em><em> </em><em>=</em><em> </em><em>mx</em><em> </em><em>+</em><em> </em><em>c</em>

<em>where </em><em>,</em><em> </em><em>m</em><em> </em><em>is</em><em> </em><em>slope</em><em> of the</em><em> </em><em>stra</em><em>ight</em><em> </em><em>line</em><em> </em>

<em>and</em><em> </em><em>c</em><em> </em><em>is</em><em> </em><em>y</em><em> </em><em>interce</em><em>pt</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>!</em><em> </em>

Solving and simplifying the given equation ,

3y + 6 = x - 6 \\  \\ 3y = x - 6 - 6 \\  \\ 3y = x - 12

y =  \frac{1}{3} x -  \frac{12}{3 }  \\  \\ y =  \frac{1}{3} x - 4

So, m = 1/3 and c = ( -4 )

hence , the required slope intercept form of the equation is

y =  \frac{1}{3} x - 4

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