Question

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

Answer 1

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.