Answer :
Answer:
(A) y+4=-3(x+6)
Step-by-step explanation:
The point-slope form of the equation of a line whose slope is m and passes through the point [tex](x_1, y_1)[/tex] is: [tex]y-y_1=m(x-x_1)[/tex]
Given the point: [tex](x_1, y_1)=(-6,-4)[/tex]
Slope, m=-3
[tex]x_1=-6\\y_1=-4[/tex]
Substituting these values into: [tex]y-y_1=m(x-x_1)[/tex], we obtain the point slope form of the equation:
[tex]y-(-4)=-3(x-(-6))\\\\y+4=-3(x+6)[/tex]
The correct option is A.
The point-slope form of the line is y+4=-3(x+6). So, option A is correct.
Important information:
- Slope of a line is -3.
- Line passes through the point (-6,-4).
Point-slope form:
The point-slope form of a line is:
[tex]y-y_1=m(x-x_1)[/tex]
Where, [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is the point on the line.
Substitute [tex]m=-3,x_1=-6,y_1=-4[/tex],
[tex]y-(-4)=-3(x-(-6))[/tex]
[tex]y+4=-3(x+6)[/tex]
Therefore, the correct option is A.
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