The line with equation y=−2x+7 is rotated 90° clockwise about the origin, the coordinates of the image of its y-intercept is D (−7,0).
What is y-intercept of a function?
The intersection of the graph of the function with the y-axis gives y-intercept of that function.
The y-intercept is the value of y on the y-axis at which the considered function intersects it.
Assume that we've got: y = f(x)
At y-axis, we've got x = 0, so putting it will give us the y-intercept.
Thus, y-intercept of y = f(x) is y = f(0)
To find the y-intercept of the line y=-2x+7. When x=0 we have that y=-2·0+7, y=7,
then point (0,7) is the y-intercept.
When we rotate this line 90° clockwise about the origin, then point (0,7) will be placed on the x-axis in positive x-direction.
Rotation preserves the distances, then the coordinates of the image are (7,0).
The correct choice is D (−7,0).
Learn more about y-intercept here:
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