Determine the coordinate of R

May 2, 2026Mathematics

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Answer

(-6, 0)

3 steps

let's determine the coordinates of R:

From the diagram, point R lies on the x-axis.
This means its y-coordinate is 0.
So, the coordinates of R can be written as $(x_R, 0)$ .
Point R also lies on the line QR, whose equation is given as $x + 3y + 6 = 0$ .
Substitute $y = 0$ into this equation to find $x_R$ .
$x_R + 3(0) + 6 = 0$ $x_R + 0 + 6 = 0$ $x_R + 6 = 0$ $x_R = -6$
Combine the x and y coordinates to state the coordinates of R.
The coordinates of R are $(-6, 0)$ .

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