What's an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation y=−1/3x+4

Answer 1

To find an equation of a line perpendicular to the graph of an equation, the slope of the perpendicular graph is always the negative inverse of the slope of the original graph.

m1*m2=-1

m2 = - (1/m1) , m1 being the slope of the original graph, m2 being the slope of the graph perpendicular to the original graph.

Therefore, the equation of the line of the graph perpendicular would be:

y = 3x+c , where c is the y intercept.

This line has to pass through (4,3) so you would be input these values into the line above.

3 = 3(4)+c

3 = 12 + c

3-12 = c

-9 = c

Therefore the equation of the line perpendicular to the graph of the equation y = (-1/3x)+4 is

y = 3x - 9