Write an equation of a line through (-1,-4) parallel to y=4x+5

nyle2k8431

nyle2k8431

Answered question

2022-11-14

Write an equation of a line through (-1,-4) parallel to y=4x+5

Answer & Explanation

levraijournalk1o

levraijournalk1o

Beginner2022-11-15Added 10 answers

The equation of a line is y=mx+c
where m is the slope.
All parallel lines have the same slope.
y=4x+5
The slope is m=4
The equation of a line through ( x 0 , y 0 ) and of slope m is
y - y 0 = m ( x - x 0 )
Here ( x 0 , y 0 ) = ( - 1 , - 4 )
Therefore, the equation is y+4=4(x+1)
y+4=4x+4
y=4x

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