Make a straight line through the point m (0,1) so that the line segment cut by two straight lines L1: x-3y + 10 = 0, L2: 2x + Y-8 = 0 is exactly bisected by m, and solve the linear equation

Make a straight line through the point m (0,1) so that the line segment cut by two straight lines L1: x-3y + 10 = 0, L2: 2x + Y-8 = 0 is exactly bisected by m, and solve the linear equation

Let B (T, 8-2t) and m (0, 1) be the midpoint of AB, and a (- t, 2t-6) can be obtained from the midpoint coordinate formula

Point P (0,1) is a straight line L, so that it is bisected with point P by the line segment cut by the known straight line L1: x-3y + 10 = 0, L2: 2x + Y-8
Make a straight line L through point P (0,1), intersect line L1: x-3y + 10 = 0 and point a, intersect line L2: 2x + Y-8 = 0 and point B. if point P bisects line AB, try to find the equation of line L. let me help him solve it
Insert picture insert map; you can also input 9999 words why such a setting is known, a (3b-10, b), B (a, - 2A + 8) can be set

Let the equation of line l be y = KX + B. according to the meaning of the question, let point a be (m, n), because P (0,1) is the midpoint of AB, so we can get that B is (- m, 2-N). Because a passes through line L1 and B passes through line L2, we substitute two points of a and B into these two linear equations respectively, and get: m-3n + 10 = 0, 2 (- M) + (2-N) - 8 = 0

Make a straight line through the point m (0,1), so that the line segment cut by the straight line L1: x-3y + 10 = 0, L2 2x + Y-8 = 0 is exactly bisected by m, and find the equation of the subline

Let Y-1 = K (x-0), y = KX + 1. The coordinates of intersection a can be obtained by connecting the line with L1: (7 / (3K-1), (10k-1) / (3K-1)); the coordinates of intersection B can be obtained by connecting the line with L2: (7 / (2 + k), (8K + 2) / (2 + k)); according to m (0,1) is ab

What is the inclination angle of the line x-radical 3y-2 = 0?

If x = 0, then y = - 2 / radical 3
If y = 0, then x = 2
So Tana = | y | / | x | = (2 / radical 3) / 2 = 1 / radical 3
So a = 30 degrees, which means the inclination angle is 30 degrees
or
x-√3y-2=0
y=1/√3*x-2/√3
So k = 1 / radical 3
So the tilt angle is 30 degrees