To find the equation of a line perpendicular to the line through the points (-1, 5) and (1, -3), we first need to calculate the slope of that line. The slope (m) is calculated as ( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 5}{1 - (-1)} = \frac{-8}{2} = -4 ). The slope of a line perpendicular to this would be the negative reciprocal, which is ( \frac{1}{4} ). Using the point-slope form of the line's equation with point (4, -4), we get ( y + 4 = \frac{1}{4}(x - 4) ), which simplifies to ( y = \frac{1}{4}x - 5 ).
If you mean endpoints of (1, 7) and (3, 3) then the midpoint is at (2, 5).
To find the inverse ( g(x) ) of the relation ( f(x) ) given by the pairs (8, 3), (4, 1), (0, -1), and (-4, -3), you need to switch the x and y values in each pair. Thus, the inverse relation ( g(x) ) will be (3, 8), (1, 4), (-1, 0), and (-3, -4). Therefore, ( g(x) = {(3, 8), (1, 4), (-1, 0), (-3, -4)} ).
x = 1.6
180 rotation
If you mean endpoints of (1, 7) and (3, 3) then the midpoint is at (2, 5).
If endpoint J is at (4, 15) and midpoint L is at (1, 8) then endpoint K is at (-2, 1) Because (4-2)/2 = x and (15+1)/2 = y for midpoint (1, 8)
To find the inverse ( g(x) ) of the relation ( f(x) ) given by the pairs (8, 3), (4, 1), (0, -1), and (-4, -3), you need to switch the x and y values in each pair. Thus, the inverse relation ( g(x) ) will be (3, 8), (1, 4), (-1, 0), and (-3, -4). Therefore, ( g(x) = {(3, 8), (1, 4), (-1, 0), (-3, -4)} ).