Mathematics
Find the equation of the line that is perpendicular to 3x + 2y - 8 = 0 and passes through the mid-point of the line segment joining the points (5, -2) and (2, 2).
Related Questions
(i) The line 4x - 3y + 12 = 0 meets the x-axis at A. Write down the coordinates of A.
(ii) Determine the equation of the line passing through A and perpendicular to 4x - 3y + 12 = 0.
Find the equation of the line that is parallel to 2x + 5y - 7 = 0 and passes through the mid-point of the line segment joining the points (2, 7) and (-4, 1).
Find the equation of a straight line passing through the intersection of 2x + 5y - 4 = 0 with x-axis and parallel to the line 3x - 7y + 8 = 0.
The equation of a line is 3x + 4y - 7 = 0. Find
(i) slope of the line.
(ii) the equation of a line perpendicular to the given line and passing through the intersection of the lines x - y + 2 = 0 and 3x + y - 10 = 0.