How do you write the equation of a line with m=5/6 and (7,-2)?

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Answer 1 · 2016-12-26T09:47:20

The equation is #y-y_1=m(x-x_1)#. Solve for #y#.

Use the point slope formula, #y-y_1=m(x-x_1)#, where #m# is the slope, #5/6#, #x_1# and #y_1# are the point #(7,-2)#.

Substitute the known values into the equation.

#y-(-2)=5/6(x-7)#

Simplify.

#y+2=5/6x-35/6#

Subtract #2# from both sides.

#y=5/6x-35/6-2#

Convert #2# into a fraction that has a denominator of #6#.

#y=5/6x-35/6-(2/1xx6/6)#

Simplify,

#y=5/6x-35/6-12/6#

Simplify,

#y=5/6x-47/6#