AB is divided into 8 equal parts and point C is 1 part FROM A TO B, so the ratio is 1:7, with C being 1/7 of the way. The ratio is k, found by writing the numerator of the ratio (1) over the sum of the numerator and denominator (1+7). So our k value is 1/8. Now we need to find the rise and the run (slope) of the points A and B.
. That gives us a rise of -4 and a run of 12. The coordinates of C are found in this formula:
. Filling in accordingly, we have
which simplifies a bit to
. Finding common denominators and doing the math gives us that the coordinates of point C are
. There you go!
You're right! Product of slopes of perpendicular lines must be -1
Answer:
x = 2 (doesn’t work in the equation)
3(2) -3 = 3 - 6(2)
X = 2/3 (works in the equation
3 (2/3) - 3 = 3 - 6(2/3)
2-3 = 3 - 4
- 1 = -1
Step-by-step explanation:
|3x| - 3 = 3 - 6x
|3x| = 3 + 3 - 6x
|3x| = 6 - 6x
|3x| = -6 + 6x
3x = - 6 + 6x or 3x = 6 - 6x
6 = 6x - 3x
6 = 3x
x = 2
3x = 6 - 6x
3x + 6x = 6
9x = 6
x = 6/9
x = 2/3