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)?

Question

anonymous · Answer

y=mx+b , m=4 (slope)

Lets find the B of the line that passes through the point (1, -2)

-2=4*(1)+b
b=-6

Therefore, with a line that is parallel, the slope will stay the same, only the B value will change since that is your vertical intercept value. 

y=4x-6 is the equation of the line that is parallel to a line with a slope of 4 that passes through 0 , 0

anonymous · Answer

another way to do this is using point slope form
y-y1=m(x-x1)        m=4 and (x1,y1)=(1,-2)
y+2=4(x-1)
y+2=4x-4
y=4x-6