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The detailed process of solving two unary linear equations in senior one mathematics is fast. Thank you.
Solution: As you can see from your chart, there are two situations.

(1) The straight line passes through the origin, and the intercept on the two coordinate axes is 0. Let the linear equation be y=kx, and bring in the data of point P, it is easy to get that the linear equation is y = (-5/4) x.

(2) The straight line does not pass through the origin. Let the linear equation be y=kx+b, the intercept on the X-axis is |-b/k|, and the intercept on the Y-axis is |b|, then the equation |-b/k|=|b| can be obtained, and then the coordinates of point P are brought into 4k+b=-5 of the equation to solve the simultaneous equations.

K= 1, b=-9 or k=- 1, and b=-4. Then two straight lines meet the conditions, y=x-9 or y=-x-4.