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What is an equation of the line in Point slope form that passes through the given point and has the given slope? (8, -8); Slope:3

A:y-8=3(x+8)
B:y+8=3(x+8)
C:y-8=3(x-8)
D:y+8=3(x-8)

Answer :

It's going to be D :)
apologiabiology
the equation of a line that passes through the points [tex](x_1,y_1)[/tex] and has a slope of m is
[tex]y-y_1=m(x-x_1)[/tex]

so

we want the eqaution of a line that passes through the point (8,-8) and has a slope of 3

x₁=8
y₁=-8
m=3

so
[tex]y-y_1=m(x-x1)[/tex]
[tex]y-(-8)=3(x-(8))[/tex]
[tex]y+8=3(x-8)[/tex]


answer is D

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