The equation of line r is y = -1\2x - 4. if line s runs perpendicular to line r and passes through (4, -3), what would be the equation of line s?

First off, what's the slope of "r" anyway,   .

low and behold, since "r" is in slope-intercept form, notice, it has a slope of -1/2.

now, any line perpendicular to "r", will have a negative reciprocal slope to it, that is,



so we're really looking for a line whose slope is 2, and runs through 4,-3,