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Choose the equation below that represents the line that passes through the point (7, −2) and has a slope of −3.

y − 2 = −3(x + 7)
y + 7 = −3(x − 2)
y + 2 = −3(x − 7)
y − 7 = −3(x + 2)

Respuesta :

caylus
Hello,

y+2=-3*(x-7)

Answer C

Answer:

Therefore, Option 3rd is correct that is [tex]y+2=-3(x-7)[/tex] which is required equation of a line.

Step-by-step explanation:

We have given a point through which line is passing that is (7,-2) and slope is also given which is -3

We have a general equation of line which is

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

Here,[tex]m=-3[/tex]

And  [tex]y_1=-2,x_1=7[/tex] on substituting the values in the given formula for equation of a line we will get

[tex]y-(-2)=-3(x-7)[/tex]

[tex]\Rightarrow y+2=-3(x-7)[/tex]

Therefore, Option 3rd is correct that is [tex]y+2=-3(x-7)[/tex] which is required equation of a line.


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