Advertisements
Advertisements
Question
Find the value of k: if the slope of the line passing through the points (3, 4), (5, k) is 9.
Advertisements
Solution
Let P(3, 4), Q(5, k).
Slope of PQ = 9 …[Given]
∴ `("k" - 4)/(5 - 3)` = 9
∴ `("k" - 4)/2` = 9
∴ k – 4 = 18
∴ k = 22.
APPEARS IN
RELATED QUESTIONS
Find the slope of the following lines which pass through the point: (2, – 1), (4, 3)
Find the slope of the line whose inclination is 30°.
Without using Pythagoras theorem, show that points A (4, 4), B (3, 5) and C (– 1, – 1) are the vertices of a right-angled triangle.
Find the slope of the line which makes angle of 45° with the positive direction of the Y-axis measured clockwise.
Find the value of k for which the points P(k, – 1), Q(2, 1) and R(4, 5) are collinear.
Find the slope of the line passing through the following point: (1, 2), (3, – 5)
Find the slope of the line passing through the following point: (1, 3), (5, 2)
Find the slope of the line passing through the following point: (–1, 3), (3, –1)
Find the slope of the line passing through the following point: (2, – 5), (3, – 1)
Find the value of k: the points (1, 3), (4, 1), (3, k) are collinear.
Find the value of k: the point P(1, k) lies on the line passing through the points A(2, 2) and B(3, 3).
Find the slope of the line y – x + 3 = 0.
Obtain the equation of the line containing the point: (2, 4) and perpendicular to the Y−axis.
Obtain the equation of the line containing the point: (2, 5) and perpendicular to the X−axis.
Find the equation of the line: containing the point T(7, 3) and having inclination 90°.
Find the equation of the line: containing the origin and having inclination 90°.
