Question Type 7: Finding a parallel line and perpendicular line passing through specific point for a given line Bootcamps

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

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

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

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 $y = -\tfrac{1}{2}x + 3$ that passes through the point $(6, 0)$.

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 $(4, -2)$.

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

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

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 $x + 4y - 8 = 0$ that passes through $(-2, 3)$.

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