F(x)= 1/2x^2-4x+3 in standard form
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The point (3, -4) lie on the line y + 4 = 4(x - 3) because the point (3,-4) satisfy the line option (A) is correct.
<h3>What is a straight line?</h3>A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
We have an equation of a line:
y + 4 = 4(x - 3)
A (3,-4)
Plug the above points in the equation of the line.
-4 + 4 = 4(3 -3)
0 = 0 (true)
The point lies on the line
Similarly checking for others points we will find that points (2,9), (0,0) , (1,-11), (1,11), and (-2, 3) does not lie on the line y + 4 = 4(x - 3)
Thus, the point (3, -4) lie on the line y + 4 = 4(x - 3) because the point (3,-4) satisfy the line option (A) is correct.
Learn more about the straight line here:
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