Question

Using point slope form determine the equation of a line that is perpendicular to the line y=3x+4 and passes through point (6,-3)

Answer 1

I'm not gonna use point-slope form but I will tell you the equation in slope-intersect form. Perpendicular means that the slopes of the 2 equations have to be opposite reciprocals. That means if one is 2, the other slope has to be -1/2. Since the slope is 3, the slope of the equation you are making is -1/3. using desmos.com, I found out that the y-intercept has to be -1, so the equation is y=-1/3x-1