Advertisements
Advertisements
Question
Find the slope of the lines passing through the given point.
P (–3, 1) , Q (5, –2)
Solution
P (–3, 1) , Q (5, –2)
Slope = \[\frac{y_2 - y_1}{x_2 - x_1} = \frac{- 2 - 1}{5 - \left( - 3 \right)} = \frac{- 3}{8}\]
APPEARS IN
RELATED QUESTIONS
Without using the distance formula, show that the points A(4, 5), B(1, 2), C(4, 3) and D(7, 6) are the vertices of a parallelogram.
Find x, if the slope of the line joining (x, 2) and (8, −11) is `−3/4`.
Find the slope and the inclination of the line AB if : A = (−3, −2) and B = (1, 2)
Find the value(s) of k so that PQ will be parallel to RS. Given : P(2, 4), Q(3, 6), R(8, 1) and S(10, k)
Find the value(s) of k so that PQ will be parallel to RS. Given : P(5, −1), Q(6, 11), R(6, −4k) and S(7, k2)
Find the slope and the inclination of the line AB if : A = `(-1, 2sqrt(3))` and B = `(-2, sqrt(3))`
Find the slope of the line which is perpendicular to `x - y/2 + 3 = 0`
Find the value of p if the lines, whose equations are 2x – y + 5 = 0 and px + 3y = 4 are perpendicular to each other.
Find the slope of the lines passing through the given point.
E(–4, –2) , F (6, 3)
Determine whether the following point is collinear.
D(–2, –3), E(1, 0), F(2, 1)
Show that A(4, –1), B(6, 0), C(7, –2) and D(5, –3) are vertices of a square.
Find the type of the quadrilateral if points A(–4, –2), B(–3, –7) C(3, –2) and D(2, 3) are joined serially.
Find the slope of the diagonals of a quadrilateral with vertices A(1, 7), B(6, 3), C(0, –3) and D(–3, 3).
Find the slope of a line, correct of two decimals, whose inclination is 45°
Find the slope and the y-intercept of the following line 2x + 3y = 12
Find slope of a line passing through the points A(3, 1) and B(5, 3).
Find the slope of the line passing through the points M(4,0) and N(-2,-3).
Find the value of x so that the line passing through (3, 4) and (x, 5) makes an angle 135° with positive direction of X-axis.
The line through P (5, 3) intersects Y axis at Q.
(i) Write the slope of the line.
(ii) Write the equation of the line.
(iii) Find the coordinates of Q.
