Write the slope intercept forms of the equations of the lines through the given point that is a) parallel to the given line and b) perpendicular to the given line: (3,-1), y-2=0

The parallel line would be y = -1. The perpendicular line would be x = 3.

In order to find these, we must first solve the equation for y.

y - 2 = 0

y = 2.

Now that we have this, we know that the graph is that of a horizontal line. horizontal lines have 0 slope. To find the parallel line, we need to make another horizontal line. All lines that are horizontal are written in y = a number form. Since the y in the ordered pair is -1, we know the parallel line is y = -1.

As for the perpendicular line, we know that they are the opposite. Since we have y = a number for parallel, we know the opposite is x = a number for perpendicular. Since the x value in the ordered pair is 3, we know the line is x = 3.