I dont understand how to graph 3y+4x=-6 and 4y-3x=12.Please help.

Question

 5.The equation of line m is 3y+4x=-6,and the equation of the line n is 4y-3x=12.Which statement about the two lines is true?

F)Lines m and n have the same y-intercept.

G)Lines m and n have the same x-intercept.

H)Lines m and n are parallel

J)Lines m and n are perpendicular.

Please Help.Thank You!

Answer 1

line 1: 3y+4x=-6...strate line: y=-(4/3)x -2

line 2: 4y-3x=12...strate line y=+(3/4)x+3

line 1 slope=-4/3

 line 2 slope=+3/4...this =-1/slope av line1...that meen 2 lines 90 deg apart

tu see if 2 lines hit, put y from line 1 intu line 2

4*[-(4/3)x -2] -3x=12

-(16/3)x -3x=12 +8

-(25/3)x=20

x=-(3/25)*20

x=-2.4

y=-(4/3)x -2=(4/3)*(2.4) -2  =3.2-2

y=1.2

2 lines hit at (-2.4,+1.2)