If the slope is -3 and point Q is located at the origin, which of the following shows the movement of point Q? *
1 point
B. from the origin point Q moves 3 units right side and 1 unit downward.
A. from the origin point Q moves 3 units downward and 1 unit left side.
D. from the origin point Q moves 3 units left side and 1 unit downward.
C. from the origin point Q moves 3 units downward and 1unit right side.
Answers
Answer:
the slope is -3 and point Q is located at the origin, which of the following shows the movement of point Q? *
Given : slope is -3 and point Q is located at the origin
To Find : which of the following shows the movement of point Q
A. from the origin point Q moves 3 units downward and 1 unit left side.
B. from the origin point Q moves 3 units right side and 1 unit downward.
C. from the origin point Q moves 3 units downward and 1unit right side.
D. from the origin point Q moves 3 units left side and 1 unit downward.
Solution:
slope is -3 and point Q is located at the origin
Hence Equation of the line is
y - 0 = -3(x - 0)
=> y = -3x
Hence x = 1 => y = -3
and x = - 1 => y = 3
x = 1 => y = -3
=> from the origin point Q move 1 unit right side and then 3 unit downward
Correct option is
C. from the origin point Q moves 3 units downward and 1unit right side.
x = - 1 => y = 3
=> from the origin point Q move 1 unit left side and then 3 unit upward
This is not in the option
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