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Sagot :
[tex]y = - 5x + n \\ [/tex]
( -1 , -2 ) satisfies the equation of y
[tex] - 2 = - 5( - 1) + n \\ - 2 = 5 + n \\ n = - 7[/tex]
[tex]y = - 5x - 7 \\ 5x + y = - 7[/tex]
Option 2
Answer:
○ [tex]5x + y = -7[/tex]
Step-by-step explanation:
The formula for forming the equation of a line given a point and a slope is:
[tex]\boxed{y- y_1 = m(x - x_1)}[/tex],
where:
m = slope (-5)
[tex]y_1[/tex] = y-coordinate of point (-2)
[tex]x_1[/tex] = x-coordinate of point (-1).
Substituting these values into the formula:
[tex]y - (-2) = -5(x - (-1))[/tex]
⇒ [tex]y + 2 = -5(x + 1)[/tex]
⇒ [tex]y + 2 = -5x -5[/tex] [expanding the brackets]
⇒ [tex]y = -5x -5 - 2[/tex] [subtracting 2 from both sides]
⇒ [tex]y = -5x - 7[/tex]
⇒ [tex]5x + y = -7[/tex] [adding [tex]5x[/tex] to both sides]
This means that the second option is correct.
Read more on point-slope form at:
https://brainly.com/question/15143525
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