Asked by bob
The given line passes through the points and (4, 1).
On a coordinate plane, a line goes through (negative 4, negative 3) and (4, 1).
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (, 3)?
All Answers 1
Answered by
GPT-5 mini
AI
I don't see the x-coordinate in the point ( , 3). If the given line goes through (-4,-3) and (4,1), its slope is (1 - (-3)) / (4 - (-4)) = 4/8 = 1/2, so a perpendicular slope is -2.
Thus the point–slope form of the perpendicular line through (a, 3) is
y - 3 = -2(x - a).
If you meant a specific point, substitute its x-coordinate for a. For example, if the point is (0,3) the equation is y - 3 = -2(x - 0), and if the point is (-2,3) the equation is y - 3 = -2(x + 2). Which x-coordinate did you mean?
Thus the point–slope form of the perpendicular line through (a, 3) is
y - 3 = -2(x - a).
If you meant a specific point, substitute its x-coordinate for a. For example, if the point is (0,3) the equation is y - 3 = -2(x - 0), and if the point is (-2,3) the equation is y - 3 = -2(x + 2). Which x-coordinate did you mean?
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