How do you simplify #y- 1= 3( x + 6)#?

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Answer 1 · 2018-03-06T23:59:52

#y=3x+19#

Simplify:

#y-1=3(x+6)# is the point-slope form of a linear equation:

#y-y_1=m(x-x_1),#

where:

#m# is the slope #(3)#, and #(x_1,y_1)# is the point #(-6,1)#.

We can simplify this equation by solving for #y#, which will give you the equation in slope-intercept form.

#y-1=3(x+6)#

Expand.

#y-1=3x+18#

Add #1# to both sides.

#y=3x+18+1#

#y=3x+19# is in slope-intercept form:

#y=mx+b,#

where:

#m# is the slope #(3)#, and #b# is the y-intercept #(19)#.