The answer is: " - (4/3) " . ____________________________________ Explanation: ____________________________________ The original equation given has a slope of (3/4).
Note: We know this since the equation for the slope of the line is written in "slope-intercept form" ; also known as: "point-slope form"; that is:
" y = mx + b " ; in which "m" (the coefficient of "x") is the slope. ____________________________________________________ The slope of a line PERPENDICULAR to an equation, when written in "slope-intercept form", is the "negative reciprocal" of the slope of the original line.
Hence, the negative reciprocal of "(3/4)" is: "-(4/3)" . ____________________________________________________