Question

Write the equation of the line that passes through (4,2) and is parallel to the line y=2x-1

Answer 1

Use this formula:

y - y1 = m(x - x1)

you know that parallel lines have the same slope, so you have m.

Answer 2

you got that?

Answer 3

\[y=2x-1\] looks like
\[y=mx+b\] with
\[m=2,b=-1\] so you know the slope of your line is
\[m=2\]

Answer 4

then write
\[y-2=2(x-1)\] and solve for by first using the distributive property on the right and then adding 2 to both sides

Answer 5

so 2x-y=?

Answer 6

\[y-2=2x-2\]
\[y=2x\] or if you prefer
\[2x-y=0\]

Answer 7

satellite, don't you mean

y - 2 = 2(x - 4)

y - 2 = 2x - 8

y=2x - 6