Given that the line L passes through the point P (2,3), and the absolute values of the intercept on the two coordinate axes are equal, the equation of the line is solved?

Classification discussion:
(1) When the intercept is 0, it is the case of crossing the origin
Obviously, the linear equation is y = 3x / 2
(2) When the intercept is not 0, the linear equation can be set as x + y = a
Substituting the point P (2,3) to get a = x + y = 2 + 3 = 5
So the linear equation is x + y = 5
In conclusion, the linear equation is y = 3x / 2 or x + y = 5

The equation of a straight line passing through point a (4,1) with equal intercept on two coordinate axes is ()
A. X + y = 5B. X-Y = 5C. X + y = 5 or x-4y = 0d. X-Y = 5 or x + 4Y = 0

When the straight line passes through the origin, the slope is 14, and the equation of the straight line obtained from the point oblique formula is y = 14 & nbsp; X. when the straight line does not pass through the origin, let the equation of the straight line be: x + y = a, substituting point a (4,1) into the equation to get a = 5, and the equation of the straight line is x + y = 5. In conclusion, the equation of the straight line is y = 14 & nbsp; X or x + y = 5

If a straight line passes through point a (- 3,4), and the sum of intercept on two axes is 12, then the linear equation is______ ．

Let the cross section be a, then the longitudinal intercept be 12-A, and the linear equation be XA + Y12 − a = 1. Substituting a (- 3, 4), we can get − 3A + 412 − a = 1. When a = - 4, a = 9, the linear equation is x9 + Y3 = 1. When a = - 4, we can get x + 3y-9 = 0. When a = - 4, we can get x − 4 + Y16 = 1, we can get y = 4x + 16

If a straight line passes through point a (- 3,4), and the sum of intercept on two axes is 12, then the linear equation is______ ．

Let the transverse intercept be a, then the longitudinal intercept be 12-A, and the linear equation be XA + Y12 − a = 1. Substitute a (- 3, 4) to get − 3A + 412 − a = 1, and the solution be a = - 4, a = 9. When a = 9, the linear equation is x9 + Y3 = 1. When a = - 4, the linear equation is x − 4 + Y16 = 1, and the linear equation is y = 4x + 16. To sum up, the linear equation is x + 3y-9 = 0 or y = 4x + 16 6，．

If a straight line passes through point a (- 3,4), and the sum of intercept on two axes is 12, then the linear equation is______ ．

Given that the intercept of line L passing through point P (1,4) on two coordinate axes is positive, when the sum of the two intercepts is the smallest, the equation of line L is obtained

Let L: y-4 = K (x-1) and (k < 0) l intercept on two axes be a and B, respectively. Then a = 1-4k and B = 4-K, because K < 0, - k > 0, ℅ − 4K > 0 ℅ a + B = 5 + (- K) + − 4K ≥ 5 + 2 = 5 + 4 = 9. If and only if - k = − 4K, i.e. k = - 2, a + B obtains the minimum value of 9. That is, the obtained linear equation is y-4 = - 2 (x-1), i.e. 2x + y-6 = 0

The line L passing through point P (1,4) intersects with the positive half axis of two coordinate axes. When the sum of intercept of line L on two coordinate axes is the smallest, the equation of line L is______ ．

Let the equation of line l be XA + Yb = 1 (a > 0, b > 0) ∵ P (1,4) on line L ∵ 1A + 4B = 1, we can get the sum of intercept on two coordinate axes a + B = (a + b) (1a + 4b) = 5 + Ba + 4AB ≥ 5 + 2BA · 4AB = 9, if and only if Ba = 4AB, that is, B = 2A = 6, the equal sign holds, and the equation of line is X3 + y6 =

The equation of a straight line passing through point P (3,2) with equal intercept on two axes is______ ．

When the line passes through the origin, the slope of the line is k = 23, and the equation of the line is y = 23x, that is, 2x-3y = 0. When the line does not pass through the origin, the equation of the line is x + y = a, and the point P (3,2) is substituted into the equation to get 3 + 2 = a, and the solution is a = 5. At this time, the equation of the line is x + y = 5

The equation of the straight line passing through point (1,2) with equal intercept on two coordinate axes______ ．

① When the intercept between the line and the two coordinate axes is not 0, let the equation of the line be x + y = a, and substitute (1,2) into the equation: a = 3, then the equation of the line is x + y = 3, that is, x + Y-3 = 0; ② when the intercept between the line and the two coordinate axes is 0, let the equation of the line be y = KX, and substitute (1,2) into

Given that the line L passes through the point P (2,3), and the absolute values of the intercept on the two coordinate axes are equal, the equation of the line is solved?