identify an equation in point slope form for line parallel to y=1/2x-7 that passes through (-6,5)

Answer 1

Since the slope of line is 1/2, the slope of the line parallel to is is also m=1/2. To find the equation of the line going through the point (2,6) use the following equation.

(y-y1)=m(x-x1) Plug in known values

(y-5)=1/2(x-(-6)) Simplify

(y-5)=1/2(x+6) Distribute

y-5=1/2x+3 Add 5 to both sides

y-5+5=1/2x+3+5 Simplify

y=1/2x+8

Answer 2

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