20 POINTS AND BRAINLIEST

d. y = -3x -2

Step-by-step explanation:

Given S( 4, 10 ) and T( -2, -8 ) are on a line.

General form of a line is y = ax + b

With :

a = incline or gradient

b = intercept with the y-axis

The gradient can be found by the differences in x-coordinates of S and T divided by differences in y-coordinates of S and T.

a = ( 4 - -2) / (10 - -8)

a = ( 4 + 2) / (10 + 8)

a = 6 / 18

a = 1/3

The question is what is the line which is perpendicular to this line.

General form of a line is y = ax + b

perpendicular to 1/3 = - 3/1 so a = -3

All given lines in answers a, b , c and d have a value for b of -2.

So that line would be y = -3x -2

So the correct answer is d.

Extra:

If you want to find the value of b, of the line through S and T, then you can substitute one of the given points in the line.

y = 1/3x + b

Substitute T(-2, -8)

-8 = (1 * -2)/3 + b

b = -8 + 2/3

the full equation of this line is

y = 1/3x + 8 2/3

y = 1/3x + 8,666666666666666666666

Sometimes written as y = 1/3x + 8,(6)

neither i nor ii 56 / 4.9 = 11.91489362 and 82 / (11+5) =5.125 so i is wrong

ii. (24/8+2) times 3 = 15 and (42+9)/2 =25.5

step-by-step explanation:

56

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.