Mathematics, 11.11.2020 17:30 amiechap12

Complete the equation of the line through (3,-8)(3,−8)left parenthesis, 3, comma, minus, 8, right parenthesis and (6,-4)(6,−4)left parenthesis, 6, comma, minus, 4, right parenthesis.

Answers: 3

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Answers

Answer from: justbepunky

The equation of the line that passes through (3, -8)(6, -4) is y = - 1 / 2 x - 1

The slope intercept equation is as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

The line passes through (3, -8)(6, -4)

m = -4 - 3 / 6 + 8 = -7 / 14 = - 1 / 2

y = - 1 /2 x + b

let's find b using (6, -4)

-4 = - 1 /2 (6) + b

-4 + 3 = b

b = -1

Therefore,

y = - 1 / 2 x - 1

learn more:

Answer from: pjgolden04

$y = \frac{4}{3}x - 12$

Step-by-step explanation:

Given

(x_1,y_1) = (3,-8)

(x_2,y_2) = (6,-4)

Required

Determine the equation

First, we need to determine the slope (m):

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{-4 - (-8)}{6 -3}$

$m = \frac{-4 +8}{3}$

$m = \frac{4}{3}$

Next, we determine the line equation using:

y - y_1 = m(x - x_1)

Where

$m = \frac{4}{3}$

(x_1,y_1) = (3,-8)

$y - (-8) = \frac{4}{3}(x - 3)$

$y +8 = \frac{4}{3}(x - 3)$

$y +8 = \frac{4}{3}x - 4$

$y = \frac{4}{3}x - 4 - 8$

$y = \frac{4}{3}x - 12$

Answer from: Quest

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did not satisfy the given simplify expression.

Answer from: Quest

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1