Advertisements
Advertisements
Question
Find m if the slope of the line passing through the point (-7,5) and (2,m) is `1/3`
Solution
Slope of line PQ = `("y"_2 - "y"_1)/("x"_2 - "x"_1)`
⇒ `1/3 = ("m" - 5)/(2 + 7)`
⇒ 3 = m - 5
⇒ m = 8
APPEARS IN
RELATED QUESTIONS
The line through A(–2, 3) and B(4, b) is perpendicular to the line 2x – 4y = 5. Find the value of b.
Find the slope of the line perpendicular to AB if : A = (3, −2) and B = (−1, 2)
Show that the points P(a, b + c), Q(b, c + a) and R(c, a + b) are collinear.
The side AB of an equilateral triangle ABC is parallel to the x-axis. Find the slopes of all its sides.
The side AB of a square ABCD is parallel to the x-axis. Find the slopes of all its sides. Also, find:
- the slope of the diagonal AC.
- the slope of the diagonal BD.
Lines mx + 3y + 7 = 0 and 5x – ny – 3 = 0 are perpendicular to each other. Find the relation connecting m and n.
The ordinate of a point lying on the line joining the points (6, 4) and (7, –5) is –23. Find the coordinates of that point.
Determine whether the following point is collinear.
A(–1, –1), B(0, 1), C(1, 3)
Write the equation of a line passing through the point P (0,6) and having slope 6/7.
Find the image of a point (-1, 2) in the line joining (2, 1) and (- 3, 2).
