parallel to given line

Question

Point 2,0 parallel to y=-1/2X + 1/5

Answer 1

The slope of your line is = -1/2. Since parallel lines have equal slopes, the new line will also have a slope of -1/2.

y - y₁ = m(x - x₁)

y - 0 = (-1/2)(x - 2)

y = (-1/2)x + 1

 

Answer 2

If parallel, it must have the same slope.

 

m = -1/2

 

In point-slope form,

 

y - y₁ = m(x - x₁)

 

y₁ = 0

m = -1/2

x₁ = 2

 

y - 0 = (-1/2)(x - 2)

 

y = (-1/2)x + 1