Question

Y-7=1/6(x+6) into slope intercept form

Answer 1

Our answer is: y = 1/6x + 8

`\Large\textsl{Explanation}`

We are asked to convert the following equation into slope intercept form -

`\sf{y-7=\cfrac{1}{6}(x+6)}`

Distribute 1/6 -

`\sf{y-7=\cfrac{1}{6}x+1}`

Add 7 to both sides -

`\sf{y=\cfrac{1}{6}x+1+7}`

Simplify -

`\mapsto\quad\boxed{\boxed{\sf{y=\cfrac{1}{6}x+8}}}`

`\therefore` y = 1/6x + 8

N O T E -

• Slope intercept form is y = mx + b, where m is the slope and b is the y-intercept.