Question

How do you write an equation in slope intercept form given `y - 2/3 = -2(x - 1/4)`?

Answer 1

`y=-2x+7/6.`

Explanation:

The eqn. of a line in Slope-Intercept Form is written as `: y=mx+c.`

So, let us simplify the given eqn. and mould it the desired form as under :-

Given `y-2/3=-2(x-1/4) rArry=2/3-2(x-1/4)=2/3+1/2-2x=-2x+7/6,` i.e.,
The desired Form of eqn. is `: y=-2x+7/6.`