Question

Write the equation in slope intercept form.

Answer 1

`y = (1)/(3) x - 4`

Explanation:

Given equation :-

`y + 2 = (1)/(3) (x - 6)`

• Slope intercept form is

y = mx + c

where , m is slope of the straight line

and c is y intercept of the line !

Solving and simplifying the given equation ,

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

`y = (1)/(3) x - (12)/(3 ) \\ \\ y = (1)/(3) x - 4`

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

hence , the required slope intercept form of the equation is

`y = (1)/(3) x - 4`

Answer 2

`\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} \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}`