What is the equation in point-slope form and slope intercept form for the line given (10,-9);m=-2?

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Answer 1 · 2015-05-23T19:42:24

The point-slope form is #y+9=-2(x-10)#, and the slope-intercept form is #y=-2x+11#.

Point-slope form: #y-y_1=m(x-x_1)#

Slope, #m=-2#
Point, #(10,-9)=x_1,y_1#

Substitute the values for #m#, #y_1#, and #x_1# into the equation..

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

#y-(-9)=-2(x-10)# =

#y+9=-2(x-10)#

Slope-intercept form: #mx+b#

Solve #y+9=-2(x-10)# for #y# .

Distribute the #-2#.

#y+9=-2x+20#

Subtract #9# from both sides.

#y=-2x+11#