What are 3 other points that take you to the same location as (6, -4pi/3)
1 answer:
Answer:
P1 (6, 2/3 π)
P2 (6, 10/3 π)
P3 (6, 14/3 π)
Step-by-step explanation:
To find the other three points you take into account that if you sum 2π to one coordinate you have the same point.
Hence, by adding 2π to -4π/3, and again other two times:
hence, the other two points are
P1 (6, 2/3 π)
P2 (6, 10/3 π)
P3 (6, 14/3 π)
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Answer:
y=-x+
Step-by-step explanation:
First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find
m=(y2-y1)/(x2-x1)
=(2-(-4))/(-2-1)
=6/-3
=-2
in this equation the slope is 2, and to find the first equation, use y=mx+b
use the point (1, -4) to find b
-4=(2)(1)+b
-4=2+b
b=-6
the first equation of the line is y=2x-6
to find the x intercept of that line substitute 0 for y
0=2x-6
2x=6
x=3
the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2
for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b
y=mx+b
0=(-1/2)(3)+b
b=3/2
thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=-x+3/2
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