Question

A line passes through the origin and has a slope of 4. What is the equation of the line that is parallel to the first line and passes through the point (1, –2)? A. y = 4x + 9 B. y = –4x + 2 C. y = 4x – 6 D. 2003-10-03-00-00_files/i0160000.jpg

Answer 1

y = 4x is the equation of the first line.
The slope of the line which is parallel to it has the same slope m=4.
Then,
$y - y_{1} = m(x- x_{1} )$
y - (-2) = 4(x - 1)
y = 4x - 4 - 2
y = 4x - 6
It is the final equation.