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Which of the following equations represent a line that has a slope of –5 and that passes through (2, –6)? Check all of the boxes that apply.

y + 6 = –5(x – 2)

y – 2 = –5(x + 6)

y = –5x + 4

y = –5x – 28

Respuesta :

texaschic101
y - y1 = m(x - x1)
slope(m) = -5
(2,-6)....x1 = 2 and y1 = -6
sub
y - (-6) = -5(x - 2) =
y + 6 = -5(x - 2) <==== here is one

y + 6 = -5(x - 2)
y +  6 = -5x + 10
y = -5x + 10 - 6
y = -5x + 4 <=== here is another one

The  equation that represents the line that has a slope of –5 and that passes through (2, –6) are :

y = -5x + 4

y + 6 = -5(x - 2)

Using linear equation formula,

y = mx + b

where

m = slope

b = y-intercept

Therefore,

m = -5

It passes through (2, -6)

y = -5x + b

let's find b

-6 = -5(2) + b

b = -6 + 10

b = 4

Therefore, the equation will be as follows:

  • y = -5x + 4

it can be represented as (y - y₁) = m(x - x₁)

  • y + 6 = -5(x - 2)

learn more on linear equation: https://brainly.com/question/18093699?referrer=searchResults

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