Answered

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Which of the following is the equation of a line parallel to the line y = 4x+1,passing through the point (5,1)?

Which Of The Following Is The Equation Of A Line Parallel To The Line Y 4x1passing Through The Point 51 class=

Sagot :

The given eqation is:

[tex]y=4x+1[/tex]

Notice that the slope of the line is 4

Recall that the slopes of parallel lines are equal

Hence the slope of the required line is 4.

Since the line passes through the point (5,1)

The equation is:

[tex]y-1=4(x-5)[/tex]

This is simplified to give:

[tex]\begin{gathered} y-1=4x-20 \\ y-4x=-20+1 \\ -4x+y=-19 \\ 4x-y=19 \end{gathered}[/tex]

Therefore the equation of the line is:

[tex]4x-y=19[/tex]

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