## Intermediate Algebra: Connecting Concepts through Application

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