Answer:
y = -x + 2
Step-by-step explanation:
Angle between these lines = 90°
Angle between BC and the angle bisector BD = 45°
Since, m(∠DBE) = 90° + 45° = 135°
Therefore, slope of the angle bisector BD = tan(90° + 45°)
= -tan(45)°
= -1
Let the equation of the angle bisector which passes through (x', y') and slope = m,
y - y' = m(x - x')
Where m = slope of the line = (-1)
Since, the angle bisector passes through a point B(-1, 3),
Equation of BD will be,
y - 3 = (-1)(x + 1)
y - 3 = -x - 1
y = -x - 1 + 3
y = -x + 2
Answer:
k < -2
Step-by-step explanation:
too lazy to explain :/
Answer: C
Step-by-step explanation:
I remember this test
Answer:
none of the above
Step-by-step explanation:
You can try the points in the equations (none works in any equation), or you can plot the points and lines (see attached). <em>You will not find any of the offered answer choices goes through the given points</em>.
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You can start with the 2-point form of the equation of a line. For points (x1, y1) and (x2, y2) that equation is ...
y = (y2 -y1)/(x2 -x1)·(x -x1) +y1
Filling in the given points, we get ...
y = (3 -1)/(2 -4)·(x -4) +1
y = 2/(-2)(x -4) +1 . . . . . simplify a bit
y = -x +4 +1 . . . . . . . . . simplify more
y = -x +5 . . . . . . . . . . . slope-intercept form
The product of 5 and 2/3 is 5.6666