It is known that the intercept of lines L1 and L2 on x-axis is equal, and their inclination angles are complementary, and the line L1 passes through point P (- 3,3). If the distance between point Q (2,2) and L2 is 1, the equation of L2 is solved

Let the equation of line L2 be y = K (x-a), then the equation of line L1 is y = - K (x-a). ∵ the distance from point Q (2,2) to L2 is 1, | K (2 − a) − 2 | 1 + K2 = 1. (1) because line L1 passes through point P (- 3,3), then 3 = - K (- 3-A). (2) from (2), Ka = 3-3k, substituting (1), then | 5K − 5 | 1 + K2 = 1, | 12k2-25k + 12 = 0 ）So the equation of line L2 is: 4x-3y + 3 = 0, or 3x-4y-3 = 0

If the intercept of line L1 and L2 is m on X axis and N on Y axis, the relationship between L1 and L2 is
Will it be parallel
Is there only overlap

Because according to the question, L1 and L2 pass through two points (m, 0) and (n, 0). According to the theorem that two points determine a straight line, the straight line coincides

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1. It is known that the intercept of lines L1 and L2 on x-axis is equal, and their inclination angles are complementary, and the line L1 passes through point P (- 3,3). If the distance between point Q (2,2) and L2 is 1, the equation of L2 is solved
2. If the intersection of their images and the y-axis is divided into two parts, the first-order functions y = (n-4) x + (4-2m) and y = (n + 1) x + M-3 are given The first-order functions y = (n-4) x + (4-2m) and y = (n + 1) x + M-3 are known If the intersection of their image and Y axis is point P and point Q respectively If P and Q are symmetric about X axis, the value of M is______ .
3. Let the line L intersect the x-axis and y-axis with the point AB respectively. If the line M: y = KX + T (t greater than 0) is parallel to the line L and intersects the x-axis with the point C, the area s of the triangle ABC is obtained with respect to t In ABC, the relation between S and t is {s = 9-2 / 3T (0 < T < 3)} S = 2 / 3t-9 (T > 6) this answer says that point C is on the positive half of the x-axis, but it can also say that when C is on the left side of B, s = 9-2 / 3T, so point C is on the negative half of the x-axis. What's the matter?
4. If the area of △ abo (o is the coordinate origin) is 2, then the value of B is______ ．
5. The line y = KX + B passes through the intersection a of y = 3x-5 and y = - 2x + 10, y = KX + B intersects Y axis at B, y = - 2x + 10 intersects X axis at C, if s triangle ABC = 12, then k =, B= The line y = KX + B passes through the intersection a of y = 3x-5 and y = - 2x + 10, y = KX + B intersects Y axis at B, y = - 2x + 10 intersects X axis at C, if s triangle ABC = 12, then k =?, B =?
6. The function y = (2k + 6) x-k is a first-order function of X, and Y decreases with the increase of X. the value range of K is obtained and the quadrants are pointed out
7. The function y = 2k-3 of 2x, when x is less than 0, y decreases with the increase of X, then the value range of K is
8. If y = (1-2k) x-k decreases with the decrease of X, and the image of this function does not pass through the second quadrant, what is the value range of K
9. Given the function f (x) = / x ^ 2-4x-5 /, if in the interval [- 1,5], the image of y = KX + 3K is above the function f (x), the value range of K is obtained
10. If f (x) = (- K2 + 3K + 4) x + 2 is an increasing function, then the range of K is
11. Two straight lines L1: MX + 8y + n = 0 and L2: 2x + MY-1 = 0 are known. Try to determine the value of M, n so that (1) L1 ‖ L2; (2) L1 ⊥ L2, and the intercept of L1 on the Y axis is - 1
12. In solving the equations {ax + by = C ① ax by = - 3 ②, Xiao Ming mistook - 3 in equation ② as 3 and got the solution {x = 3, y = 6 because of carelessness The solution is {x = 5, y = 18
13. It is known that the linear equation is ax + by + C = 0. When a, B and C are 0 respectively, the position and slope of the line are the same
14. It is known that the intercept of the line y = KX + B on the y-axis is 4, and the line passing through the point C (3,2) intersects with the x-axis and y-axis at two points a and B. in addition, there is a point D on the x-axis (3 / 2, 0) finding the area of a quadrilateral bcdo fast
15. It is known that the intercept of y = KX + k-2x-3 is 2
16. The equation of line L is obtained according to the following conditions: (1) the intercept on the x-axis is - 2, and the intercept on the y-axis is - 3 The equation of the line L is obtained according to the following conditions, (1) The intercept is - 2 on the x-axis and - 3 on the y-axis (2) It passes through point a (- 5,0) with equal transverse and longitudinal intercept
17. The general equation in the linear equation, ax + by + C = 0, where are the intercept formulas of the line on the Y axis and the intercept formula on the X axis
18. It is known that the image of quadratic function f (x) = ax ^ 2 + BX + C is symmetric with respect to the line x + 1 = 0, the maximum value is 4, and the intercept on the Y axis is - 1 Find the values of a, B and C I think this problem can be directly solved with the formula after knowing the vertex coordinates, But when I checked it, I found it was wrong And how to calculate all because of the symbol problem and vertex coordinates do not match My answer is a=2 c=5 a=-1 Answer in one day!
19. The intercept of the line x + 6y + 2 = 0 on the x-axis and y-axis are______ ．
20. The intercept of line 7x + 2y-5 on the y-axis is?

It is known that the intercept of lines L1 and L2 on x-axis is equal, and their inclination angles are complementary, and the line L1 passes through point P (- 3,3). If the distance between point Q (2,2) and L2 is 1, the equation of L2 is solved