Find the equation of a line passing through point (-2,3) and perpendic

1.	Find the equation of a line passing through point (-2,3) and perpendicular to 7x + 2y + 3 = 0.
Answer» Here, `(x_(1) , y_(1)) = (-2,3) , a = 7` and b = 2 . `therefore` Equation of the line perpendicular to 7x + 2y + 3 = 0 and passing through `(-2,3)` is `b(x - x_(1)) - a(y_ - y_(1)) = 0` . That is , 2(x+2) - 7(y-3) = 0 `implies 2x - 7y + 25 = 0` . Hence the required equation of the line is 2x - 7y + 25= 0 .

Discussion

Find the equation of a line , whose y-intercept is `-5` and passes through point A (-3,2) .
Find the equation of the line that passes through point `(5,-3)` and makes an intercept 4 on the X-axis .A. `3x - y + 12 = 0`B. `3x + y + 12 = 0`C. `3x - y -12 = 0`D. `3x + y - 12 = 0`
The equation of the line passing through point `(-3,-7)` and making an intercept of 10 units on X-axis can be `"_______"`.A. 4x + 3y = -9B. 8x - 3y = 80C. 7x - 13y - 70 = 0D. 7x + 3y - 70 = 0
The equation of the line whose x-intercept is 5 , and which is parallel to the line joining the points (3,2) and `(-4, -1)` is `"_______"`.A. `4x + 7y - 20 = 0 `B. 3x - 7y + 3 = 0C. 3x + 2y + 15 = 0D. 3x - 7y - 15 = 0
The line joining the points (2m + 2 , 2m) and (2m + 1, 3) passes through (m +1 , 1) , if the values of m are `"_______"`.A. `5 , -(1)/(5)`B. `1 , -1`C. `2 , - (1)/(2)`D. `3 , -(1)/(3)`
Find the area of the triangle formed by the line 3x - 4y + 12 = 0 with the coordinate axes .A. 6 `"units"^(2)`B. `12 "units"^(2)`C. `1 "units"^(2)`D. `36 "units"^(2)`
Write the coodinates of midpoint of the segment joining (4,5) and (12,15).
If (2, p) is the midpoint of the line segment joining the points A(6, -5) and B(-2, 11), find the value of p.
Find the lengths of the medians AD and BE of `Delta ABC` whose vertices are A(7, -3), B(5, 3) and C(3, -1).
Find the point on x-axis which is equidistant from points A(-1, 0) and B(5, 0).