Given the function y = (2m-3) x + m + 2. (1) if the function image passes through the origin, find the value of M. (2) if the function image passes through the point (- 1,0), find the value of M. (3) The function y = (2m-3) x + m + 2 is known. (1) if the function image passes through the origin, find the value of M. (2) if the function image passes through the point (- 1,0), find the value of M. (3) if the function image is parallel to the straight line y = - x + 2, find the value of M. (4) if the function image passes through the first, second and fourth quadrants, find the value range of M | Math enthusiast | Mathematical art

Given the function y = (2m-3) x + m + 2. (1) if the function image passes through the origin, find the value of M. (2) if the function image passes through the point (- 1,0), find the value of M. (3) The function y = (2m-3) x + m + 2 is known. (1) if the function image passes through the origin, find the value of M. (2) if the function image passes through the point (- 1,0), find the value of M. (3) if the function image is parallel to the straight line y = - x + 2, find the value of M. (4) if the function image passes through the first, second and fourth quadrants, find the value range of M

1. (0,0) into y = (2m-3) x + m + 2, M = - 2
2. If (- 1,0) is brought into y = (2m-3) x + m + 2, then 3-2m + m + 2 = 0, M = 5
3.2m-3=-1,m=1
4.x=0,y=m+2>0,m>-2
y=0,x=(m+2)/(3-2m) >0 ,-2

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