Robaffonadorkdh

2022-10-10

Write the equation of the line that is parallel to y=x+3 and passes through (-4,1)

Zara Pratt

Beginner2022-10-11Added 12 answers

If one line is parallel to another line, then they have the same slope, m, as found in the point slope form

$y-{y}_{1}=m(x-{x}_{1})$

Plugging the parallel slope, m=1 and the point (−4,1) gives us

y−1=1(x−(−4))

y−1=x+4

Adding to 1 both sides

y=x+5

Graphing them both at the same time, reveals two separate graphs which have the same slope (i.e., they are parallel). The top graph passes through (−4,1)

$y-{y}_{1}=m(x-{x}_{1})$

Plugging the parallel slope, m=1 and the point (−4,1) gives us

y−1=1(x−(−4))

y−1=x+4

Adding to 1 both sides

y=x+5

Graphing them both at the same time, reveals two separate graphs which have the same slope (i.e., they are parallel). The top graph passes through (−4,1)

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?

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