Question

Which equation represents the line that passes through (-8,11) and

and (4, 7/2)?

A) y = -5/8x + 6
B) y = -5/8x + 16
C) y = 15/2x - 49
D) y = -15/2x + 71

Answer 1

Option (A)

y = - 5 / 8 x + 6

Explanation:

Two points are

(x', y') = ( - 8, 11 )

(x'', y'') = (4, 7/2)

The equation o line passing through two points is given by

`(y - y') = (y'' - y')/(x''-x')(x-x')\\\\(y - 11)= ((7)/(2)-11)/(4+8) (x + 8)\\\\y - 11 = (-5)/(8)(x + 8)\\\\y -11 = (-5x)/(8) - 5\\\\y = (-5x)/(8) + 6`

So, option (A) is correct.

Answer 2

A) y = -5/8x + 6

Explanation:

y2 - y`1 / x2 - x1

7/2 - 11 / 4 - (-8)

-15/2 / 12

= -5/8

y = -5/8x + b

11 = -5/8(-8) + b

11 = 5 + b

6 = b