#### Answer

y=-0.75x+6.5

#### Work Step by Step

3x+4y=7
4y=-3x+7
y=-$\frac{3}{4}$x+$\frac{7}{4}$
y=-0.75x+1.75
In slope-intercept form we can see that the given equation has a slope of -0.75. Since the lines are supposed to be parallel, the desired line will have this same slope.
y-y$_1$=m(x-x$_1$)
y-2=-0.75(x-6)
y-2=-0.75x+4.5
y=-0.75x+6.5