Answer:
It is 4y = -3x + 9
Step-by-step explanation:
[tex]3x + 5y - 4 = 0 \\ 5y = - 3x + 4 \\ y = - \frac{3}{4} x + 4[/tex]
since it is parallel, its slope, m is -¾
[tex]2x - 3y - 6 = 0 \\ - 3y = - 2x + 6 \\ y = \frac{2}{3} x - 2[/tex]
at x-intercept, y is zero
[tex]2 = \frac{2}{3} x \\ x = 3[/tex]
therefore
[tex]y = mx + c \\ 0 = ( - \frac{3}{4} \times 3) + c \\ c = \frac{9}{4} [/tex]
equation is
[tex]y = - \frac{3}{4} x + \frac{9}{4} \\ \\ 4y = - 3x + 9[/tex]
