Remember that the derivative of a function gives the slope at any point (x,y). Plugging in the ordered pairs will yield the slope of the tangent line at the indicated points above. Then, since you have a slope, and you have a point, you can then write the equation for the tangent lines to the function at those points. Do this for (4,3) and (-3.4).

After you have found the equations for the two tangent lines, you can then find each of the lines normal to the points by remembering that a line normal to the tangent line will have the opposite reciprocal slope of the tangent line. We know the slope of the tangent line is -x/y, so that means that the slope of the line normal to the curve at any given point (x,y) is y/x (opposite reciprocal). Once again, to write the equation of the line normal, you have the ordered pairs and a slope..then you can find the y-intercept to find the equation of those lines normal at each of the points (4,3) and (-3,4).

Hope this helps.