What is the slope of the line that passes through the points (-2, 3) and (-14, -5)

Slope = 2/3

Step-by-step explanation:

The equation of the line

y = mx + c

y = intercept point y

m = slope of the line

x = intercept point x

c = intercept of the line

The slope of the line

m = y2 - y1 / x2 - x1

Given

( -2 , 3) ( -14 , -5)

x1 = -2

y1 = 3

x2 = -14

y2 = -5

Insert the values

m = -5 - 3 / -14 - (-2)

= -8 / -14 + 2.

= -8 / -12

Minus cancels minus

= 8/12

Divide by 4

m = 2/3

The slope of the line is 2/3

the co-ordinates of the transformed rectangle are:

d. (0, 0), (0, 3), (-3, 3), (-3, 0)

step-by-step explanation:

from the columns of the given matrix, the co-ordinates of the rectangle before transformation are:

(0, 0), (0, 3), (3, 3), (3, 0)

r =

transformed matrix can be obtained by multiplying the given matrix by r:

columns of the transformed matrix are:

0   0   -3   -3

0   3     3     0

from the columns of the resulted matrix, we can see that the vertices of the transformed triangle are:

(0, 0), (0, 3), (-3, 3), (-3, 0)

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