Which equation represents a line that is parallel to the line y=3−2x?

RyszardsJh

RyszardsJh

Answered question

2022-11-22

Which equation represents a line that is parallel to the line y=3−2x?

Answer & Explanation

DelmagnoIHb

DelmagnoIHb

Beginner2022-11-23Added 6 answers

A line parallel to a x + b y + c = 0 is of the type a x + b y + k = 0 , where k c . Note this means that only constant term changes. Note that in such cases slopes of both are same i.e. - a b .
Hence equation of a line parallel to y = 3 - 2 x is y = k - 2 x , where k 3 .
hEorpaigh3tR

hEorpaigh3tR

Beginner2022-11-24Added 1 answers

Note: A line pperpendicular to ax+by+c=0 is of the type bx−ay+k=0. Note this means that coefficients of x and y are interchanged and relatively their sign changes. Note that in such cases slopes of both are - a b and b a and their product is −1.

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