Points c (-5,8) and d (2,5) lie in line cd, if points c and d are created by translating points c and d left 6 units, what is the slope of line c’

Step-by-step explanation:

Remark

Moving 6 points left is not going to alter the slope (or it shouldn't).

The x value has to have 6 subtracted from it. Leave the y value alone.

Givens

C: (-5-6,8) = (- 11,8)

D: (2-6,5) =  (-4,5)

Formula

m = (y2 - y1)/(x2 - x1)

Solution

m = (8 - 5)/(-11 - - 4)

m = 3 / - 7

m = - 0.429

Check

Let's find the slope of the original points.

(8 -5)/(-5 - 2) = 3/-7 which is the same thing.

1.0

step-by-step explanation:

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)