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Quick algebra 1 question for 10 points!

Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!

Quick Algebra 1 Question For 10 Points Only Answer If You Know The Answer Quick Shoutout To Tariqareesha2 And MrBrainly Tysm For The Help class=

Sagot :

subtomex0

[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

saadatk

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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