Question

Quick algebra 1 question for 10 points!

Answer 1

$y = - 5x + n$

( -1 , -2 ) satisfies the equation of y

$- 2 = - 5( - 1) + n \\ - 2 = 5 + n \\ n = - 7$

$y = - 5x - 7 \\ 5x + y = - 7$

Option 2

Answer 2

Answer:

○ $5x + y = -7$

Step-by-step explanation:

The formula for forming the equation of a line given a point and a slope is:

$\boxed{y- y_1 = m(x - x_1)}$,

where:

m = slope (-5)

$y_1$ = y-coordinate of point (-2)

$x_1$ = x-coordinate of point (-1).

Substituting these values into the formula:

$y - (-2) = -5(x - (-1))$

⇒ $y + 2 = -5(x + 1)$

⇒ $y + 2 = -5x -5$      [expanding the brackets]

⇒ $y = -5x -5 - 2$      [subtracting 2 from both sides]

⇒ $y = -5x - 7$

⇒ $5x + y = -7$            [adding $5x$ to both sides]

This means that the second option is correct.

Read more on point-slope form at:

brainly.com/question/15143525