How do you write #y+5=-6(x+7)# in slope intercept form?

1 Answer
Jun 3, 2017

Answer:

#y=-6x-47#

Explanation:

Slope intercept is written in the form of:

#y=mx+c#

#m# is the gradient of the line.
#c# is the y-intercept.

You can convert the given equation to the slope intercept form by simplifying the equation and grouping the like terms. Steps are as follow:

#y+5=-6(x+7)#

  • Expand the bracket by multiplying #-6# with the inner components of the bracket.

#y+5=-6x-42#

  • Subtract both sides by #5# to get '#y#' on its on.

#y=-6x-47#

and there you have it. The equation has now been converted to slope incercept form (#y=mx+c#).