Question

Need done and Hurry

Answer 1

Answer:  (C) y + 2 = -4(x - 5)

Step-by-step explanation:

First, find the slope between the two points (5, -2) and (3, 6) using the slope formula: $m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{-2-6}{5-3} = \dfrac{-8}{2}=-4$

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)

Answer 2

Answer:

see explanation

Step-by-step 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 = $\frac{6+2}{3-5}$= $\frac{8}{-2}$ = - 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)