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Answer:
y = (-1/3)(x + 10)
Step-by-step explanation:
The slope of the new (perpendicular) line is the negative reciprocal of the slope of the given line, which appears to be 3. Thus, the perpendicular line has the slope -1/3.
Using the slope-intercept form y = mx + b, and substituting the givens, we obtain:
y = mx + b => -6 = (-1/3)(8) + b, or
-6 = -8/3 + b. We must solve for the y-intercept, b:
Multiplying all three terms by 3 removes the fraction:
-18 = -8 + 3b. Thus, -10 = 3b, and so b must be -10/3.
The desired equation is
y = (-1/3)x - 10/3, or
y = (-1/3)(x + 10)
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Answer:
The coordinates of point B are (-3,-3).
Step-by-step explanation:
Let 
, 
and 
, then we have the following formula by vectorial definition of a line segment:
![B(x,y) -A(x,y) = \frac{3}{4}\cdot [C(x,y)-A(x,y)]](https://tex.z-dn.net/?f=B%28x%2Cy%29%20-A%28x%2Cy%29%20%3D%20%5Cfrac%7B3%7D%7B4%7D%5Ccdot%20%5BC%28x%2Cy%29-A%28x%2Cy%29%5D)
