Question

Draw the line through the point (4,5)that is parallel to the y-axis. Write the equation of this line and state its slope.

Can anyone assist me. The example or instructions is not in my text.

Answer 1

think about it. The y-axis has equation

x=0

so, any line parallel to the y-axis, say, c units away, will have the equation

x = c

Your point is (4,5), so the line you want is

x = 4

Its slope is undefined, since x never changes. The line is vertical.