write an equation of the line through (3,6)and parallel to y=3x-6. Wtite the equation in the form x=a, y=b, or y=mx+b

Answer 1

Since the slope of line is 3, the slope of the line parallel to is is also m=3. To find the equation of the line going through the point (3,6) use the following equation.

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

(y-6)=3(x-3) Distribute

y-6=3x-9 Add 6 to both sides

y-6+6=3x-9+6 Simplify

y=3x-3

Answer 2

Parallell lines have the same Slope, that means the slope of the line is 3.

the equation is given by (y-y1)= m(x-x1) where (x1,y1) is (3,6)

therefore Line is (y-6)=3(x-3)

y-6=3x-9 removing bracket

y-6+6=3x-9+6 adding 6 at both sides

y=3x-3 equation of line