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

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Answer 1 · 2017-06-03T07:53:10

#y=-6x-47#

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#

#y=-6x-47#

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