Show that the line joining the points A(4,8) and B(5,5) is parallel to the line joining the points C(2,4) and D(1,7).

Show that the line joining the points A(4,8) and B(5,5) is parallel to

1.	Show that the line joining the points A(4,8) and B(5,5) is parallel to the line joining the points C(2,4) and D(1,7).
Answer» A(4,8),B(5,5),C(2,4) and C(1,7) Slope of line ` AB = (5-8)/(5-4)` `= (-3)/(1) = - 3` Slope of line `CD = (7-4)/(1-2) ` `= (3)/(-1) = -3` ` therefore ` slope of line AB = slope of line CD Parallel lines have equal slopes . ` therefore " line AB "\|\|` line CD .

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).