Question

Need done and Hurry

Answer 1

see explanation

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (5, - 2) and (x₂, y₂ ) = (3, 6)

m =
`(6+2)/(3-5)`=
`(8)/(-2)` = - 4

Using (a, b) = (5, - 2), then

y + 2 = - 4(x - 5) ← third on list

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Using (a, b) = (3, 6), then

y - 6 = -4(x - 3)

Answer 2

Answer: (C) y + 2 = -4(x - 5)

Explanation:

First, find the slope between the two points (5, -2) and (3, 6) using the slope formula:
`m=(y_2-y_1)/(x_2-x_1)`

`m=(-2-6)/(5-3) = (-8)/(2)=-4`

Next, input ONE of the points (x₁, y₁) and the slope (m) into the Point-Slope equation:

y - y₁ = m(x - x₁)

y - (-2) = -4(x - (5))

y + 2 = -4(x - 5)