Question

How do you write (y-3) = -2(x-6) in slope-intercept form?

Answer 1

`y = -2x +15`

Explanation:

slope-intercept form is:

`y=mx +b`

`(y-3) = -2(x -6)`

distribute the -2

#y-3 = -2x +12

add 3 to both sides

`y = -2x +15`

now it is in slope-intercept form,

slope `m=-2`

y-intercept `b=15`

Answer 2

`y=-2x+15`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

`"distributing and simplifying gives"`

`y-3=-2x+12`

`"add 3 to both sides"`

`rArry=-2x+15larrcolor(red)"in slope-intercept form"`