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18-08-2018
Mathematics

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Write the equation of the line that passes through (–1, 5) and has a slope of 3 in point-slope form.

A. x + 1 = 3(y – 5)
B. x – 5 = 3(y + 1)
C. y – 5 = 3(x + 1)
D. y + 1 = 3(x – 5)

Thank you!

Respuesta :

18-08-2018

The point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

We have:

[tex](-1,\ 5)\to x_1=-1,\ y_1=5\\m=3[/tex]

Substitute:

[tex]y-5=3(x-(-1))\\\\y-5=3(x+1)[/tex]

Answer: C. y - 5 = 3(x + 1)

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