IB Mathematics Analysis and Approaches Question Type 7: Finding a Parallel Line and Perpendicular Line Passing Through Specific Point for a Given Line Exercises

Find the equation of the line perpendicular to $y=-\frac{1}{2}x+3$ that passes through the point $(6,0)$.

Find the equation of the line perpendicular to $x+4y-8=0$ that passes through $(-2,3)$.

Find the equation of the line parallel to $2x-3y+5=0$ that passes through the point $(4,-2)$.

Find the equation of the line parallel to $y=6x-4$ that passes through the point $(0,1)$.

Find the equation of the line parallel to $y=-\frac{1}{2}x+5$ that passes through the point $(6,0)$.

Find the equation of the line parallel to $L$ that passes through the point $(-2,3)$.

Find the equation of the line perpendicular to $y=0.25x-7$ that passes through $(-8,2)$.

Find the equation of the line parallel to $y=0.25x-7$ that passes through $(-8,2)$.

Find the equation of the line perpendicular to $y=3x+1$ that passes through the midpoint of $(2,5)$ and $(4,1)$.

Find the equation of the line parallel to $y=3x+1$ that passes through the midpoint of $(2,5)$ and $(4,1)$.

Find the equation of the line perpendicular to $y=6x-4$ that passes through the point $(0,1)$.

Find the equation of the line perpendicular to $2x-3y+5=0$ that passes through the point $(4,-2)$.