The slope of the given line and, consequently, of the parallel line is 31. Next, by substituting the slope and the given point, (1,2), into the slope-intercept form, we can find the y-intercept of the desired line.
We can now use the slope and y-intercept to write the equation of the parallel line in slope-intercept form.
We want to find the equation of a perpendicular line through the given point. When two lines are perpendicular, their slopes are negative reciprocals. This means that the product of their slopes must be -1.m1⋅m2=-1
From part A, we know that the slope of the given line is m=31. We can substitute this into the above equation to solve for the slope of the perpendicular line.