Write an equation of a line containing (2,4) and parallel to x−2y=5

mxty42ued

mxty42ued

Answered question

2022-11-14

Write an equation of a line containing (2,4) and parallel to x−2y=5

Answer & Explanation

grizintimbp

grizintimbp

Beginner2022-11-15Added 16 answers

If a line is parallel to another line it must have the same gradient (co-efficient of x)
Re-arrange the given equation of the line into the form y=mx+c
x-2y=5
-2y=5-x
y=-2.5+0.5x
General equation of line that passes through (2,4)
y=0.5x+c
Substitute the x and y coordinate
4=0.5(2)+c
4=1+c
c=3
y=0.5x+3 (Equation of the parallel line)

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