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

2 Answers
May 19, 2018

#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#

May 19, 2018

#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"#