3. The linear equation passing through the intersection of two lines 3x-2y + 10 = 0 and 4x-3y + 2 = 0 and perpendicular to the line 2x-3y + 1 = 0

The obtained line is perpendicular to the line 2x-3y + 1 = 0, and the slopes of the two lines perpendicular to each other are negative reciprocal (except for the X and Y axes), so the slope of the obtained line is - 3 / 2. It is easy to obtain the intersection coordinates of the lines 3x-2y + 10 = 0 and 4x-3y + 2 = 0 (- 26, - 34), and the linear path 3x + 2Y + 146 = 0 by using the point oblique formula

RELATED INFORMATIONS

1. The distance from point P (- 2,1) to line 4x-3y + 1 = 0 is equal to?
2. If the distance from point P (a, 3) to the line 4x-3y + 1 = 0 is equal to 4 and in the plane region represented by the inequality 2x + Y-3 < 0, then the coordinates of point P are______ ．
3. Let (x + 3) square (y + 5) square = R square have and only have one point, and the distance from the line 4x-3y + 2 = 0 is equal to 1, then the radius of the circle R is ()
4. Let (x + 3) * 2 + (y + 5) * 2 = R * 2 have only one point and the distance from the point to the line 4x-3y + 2 = o be 1, then the radius of the circle R is 1 Change only one point to only two points
5. If there are only two points on the circle C: (x-3) ^ 2 + (y + 5) ^ 2 = R ^ 2 and the distance from the two points to the straight line L: 4x-3y = 17 is 1, what is the value range of R?
6. Point m is on the line y = 2x. If the distance from m to the origin is equal to the distance from m to the line x-2y + 8 = 0, find the coordinates of point M
7. Given that the point P is on the straight line y = 2x + 3, and the distance from the point P to the origin is equal to twice the distance from the point P to the y-axis, find the coordinates of the point P
8. Given that P is a point on the line 4x-y-1 = 0, the distance from P to the line 2x + y + 5 = 0 is equal to the distance from the origin to the line, then the coordinate of P is?
9. The distance from point P (a, 3) to the line 4x-3y + 1 = 0 is equal to 4, and the inequality is 2x = y
10. Given two points P1 (- 3,5) P2 (5, - 7), the equation of vertical bisector of line p1p2 is obtained Urgent need
11. Find the straight line equation through the intersection of 4x-y-2 = 0 and 3x + 2y-7 = 0, and the angle with the straight line x + 3y-6 = 0 is 45 degrees Thank you. I hope you can hurry up. I'm in a hurry
12. If the line 2x-y-10 = 0 passes through the line 4x + 3y-10 = 0 and ax + 2Y + 8 = 0, then a= Detailed process online, thank you
13. If we know the linear function y &; = X-5 and Y &; = 2x + 1, and Y &; ≥ Y &;, then the value range of X is
14. It is known that y = y1-y2, Y1 and X are in positive proportion, Y2 and X2 are in inverse proportion, and when x = 1, y = - 14; when x = 4, y = 3. Find: (1) the functional relationship between Y and X; (2) the value range of independent variable x; (3) the value of y when x = 14
15. It is known that y = y &; + Y &;, Y &; is positively proportional to X & sup2;, Y &; is positively proportional to x + 3, and when x = 0, y = 2; when x = 1, y = 2 It is known that y = y &; + Y &;, Y &; is positively proportional to X & sup2;, Y &; is positively proportional to x + 3, and when x = 0, y = 2; when x = 1, y = 2 =0, try to find the analytic expression of function y,
16. It is known that the intercept of the image of the first-order function y & # 8321; = (M & # 178; - 2) x + 1-m and Y & # 8322; = (M & # 178; - 4) x + M & # 178; - 3 on the y-axis is opposite to each other, then the analytic expression of the two first-order functions is?
17. Let the left and right vertexes of hyperbola X & # 178; / 2-y & # 178; = 1 be a &;, a &;, P (X &;, Y &;), q (X &;, - Y &;) respectively, which are two different moving points on the hyperbola, and the equation for finding the locus e of the intersection of a &; P and a &; Q
18. Let D: (X-2) &# 178; + (Y-1) &# 178; ≤ 1, compare the sizes of I & # 8321; = ∫∫ D (x + y) d σ, I &; = ∫∫ D (x + y) & # 178; D σ, I & # 8323; = ∫∫ D (x + y) & # 179; D σ
19. It is known that the image of inverse scale function y & # 8321; = m / X passes through point a (- 2,1), and the image of linear function y & # 8322; = KX + B (K ≠ 0) passes through point C (0,3) and point a, and intersects with the image of inverse scale function at another point B (1) The analytic expressions of inverse proportion function and linear function are obtained respectively; (2) Find the area of triangle OAB; (3) There is a point P on the x-axis to make the triangle OAP isosceles triangle and write its coordinates
20. In the graph of function y = - K / X (k < 0), there are three points (- 2, Y &;), (- 1, Y &;) Q: what is the size of the function values Y &;, Y &;, Y &?