Question

If somebody is good at algebra and such please answer the questions in the images

Answer 1

As per your questions,

IMAGE 1 :-

The equation is

`y = - (3)/(2)x - 1`

(Explanation attached as 1st image. Check it!)

IMAGE 2 :-

The equation is

`y = - (3)/(2)x + 1`

(Explanation attached as 2nd image. Check it!)

IMAGE 3 :-

When the point is (2,-8)

`y + 8 = 3(x - 2)`

`= > - 8 + (- 8) = 3 * (2 - 2)`

`= > 0 = 0`

Therefore, (2,-8) is true.

So, the answer is the option (2,-8)

~ Benjemin360

Answer 2

1) y = -1.5x - 1 || 2) y = -1.5x + 1 || 3. D ( 2 , -8 )

Explanation:

1)

two coordinates: ( 0 , -1 ) , ( 2 , -4 )

slope = ( y2-y1 )÷(x2-x1) = (-4--1)÷(2-0) = -1.5

then find equation using: y - y1 = m ( x - x1 )

: y - - 1 = -1.5 ( x - 0 )

: y = -1.5x - 1

2)

two coordinates: ( 0 , 1 ) , ( -2 , 4 )

slope = ( 4 - 1) ÷ (-2-0) = -1.5

Find equation using y = mx +b ........where m is slope and b is y-intercept

y = -1.5x + 1

3)

y + 8 = 3(x -2 )

y = 3x -14 ..........main equation in slope intercept form.

A)

y = 3(-2)-14

y = -20 .therefore option A is incorrect

B)

y = 3(8)-14

y = 10 .therefore option B is incorrect

C)

y = 3(-8)-14

y = -38.therefore option C is incorrect

D)

y = 3(2)-14

y = 6 -14

y = -8 . therefore it matches and is correct answer.

the line crosses D( 2 , -8 )