Answer:
Since the line that we need to figure out is perpendicular to the one given, the slope of the line in question is going to be the opposite-reciprocal of the slope of the given line.
Slope of the given line = -12
Slope of the new line = [tex]\frac{1}{12}[/tex]
We will use the point given and the new slope to determine the y-intercept using slope-intercept form.
[tex]4 = \frac{1}{12}(0) + b\\\\4 = 0 + b\\\\4 = b[/tex]
Formula for this line
[tex]y = \frac{1}{12}x + 4[/tex]
We can graph the lines to check our work.
Both lines are perpendicular.
