Intermediate Algebra: Connecting Concepts through Application

y=$\frac{1}{4}$x+6$\frac{1}{4}$
Since they are supposed to be perpendicular, the desired line must have a slope that is the opposite of the reciprocal of the slope of the given line, y=-4x+7. The given line is in slope-intercept form, so we know that its slope is -4. Therefore the desired line has a slope of m=$\frac{1}{4}$. y-y$_1$=m(x-x$_1$) y-7=$\frac{1}{4}$(x-3) y-7=$\frac{1}{4}$x-$\frac{3}{4}$ y=$\frac{1}{4}$x+6$\frac{1}{4}$