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Which line is parallel to a line that has a slope of 3 and a y-intercept at (0, 0)?

User Auro
by
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1 Answer

4 votes

Answer:

3x-y=0

Explanation:

given

slope(m)=3

y intercept (c)=0 (as y intercepts at (0,0) )

equation of given straight line is

y=mx+c

y=3x+0

3x-y=0.......(i)

comparing (i) with ax+by+c=0 we get

a=3

b= -1

c=0

line parallel to (i) is

ax+ by + k=0

where k= -bc

then the line parallel to (i) is

3x-y+1×0=0

therefore 3x-y=0 is the required answer

User Dustin Brooks
by
5.7k points