Points
C(−5, 8) and D(2,5) lie on 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′D′?
A. 3/7
B. −3/7
C. 7/3
D. −7/3
The answer is -3/7
come culo
(Y2 - Y1) / (X2-X1)
Why would the slope change when you moved the picture left?
im jus trynna get sum answers...
lmaooo
To find the slope of line C'D', we first need to find the coordinates of points C' and D' after they are translated left 6 units.
The translation left 6 units means that we subtract 6 from the x-coordinates of points C and D.
The coordinates of C' would become (C_x - 6, C_y), which becomes (-5 - 6, 8), so C' is (-11, 8).
Similarly, the coordinates of D' would become (D_x - 6, D_y), which becomes (2 - 6, 5), so D' is (-4, 5).
Now that we have the coordinates of points C' and D', we can find the slope of line C'D' using the formula:
slope = (change in y-coordinate) / (change in x-coordinate)
Let's calculate the slope:
slope = (D'_y - C'_y) / (D'_x - C'_x)
= (5 - 8) / (-4 - (-11))
= (-3) / (-4 + 11)
= (-3) / (7)
= -3/7
Therefore, the slope of line C'D' is -3/7.
Hence, the answer is option B. -3/7.