Advertisements
Advertisements
Question
Find the slope of the line passing through the points A(2, 3) and B(4, 7).
Solution
A(2, 3) = (x1, y1) and
B(4, 7) = (x2, y2)
Slope of line AB = `(y_2 - y_1)/(x_2 - x_1)`
= `(7 - 3)/(4 - 2)`
= `4/2`
= 2
Slope of line AB = 2.
RELATED QUESTIONS
Find x, if the slope of the line joining (x, 2) and (8, −11) is `−3/4`.
Plot the points A(1, 1), B(4, 7) and C(4, 10) on a graph paper. Connect A and B and also A and C.
Which segment appears to have the steeper slope, AB or AC?
Justify your conclusion by calculating the slopes of AB and AC.
The line through P(5, 3) intersects y-axis at Q.
- Write the slope of the line.
- Write the equation of the line.
- Find the co-ordinates of Q.
Find the value of p if the lines, whose equations are 2x – y + 5 = 0 and px + 3y = 4 are perpendicular to each other.
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.
Angle made by the line with the positive direction of X-axis is given. Find the slope of the line.
45°
Find the slope of the lines passing through the given point.
T (0, –3) , S (0, 4)
Determine whether the following point is collinear.
L(2, 5), M(3, 3), N(5, 1)
If A(1, –1), B(0, 4), C(–5, 3) are vertices of a triangle then find the slope of each side.
Find k, if PQ || RS and P(2, 4), Q (3, 6), R(3, 1), S(5, k).
Determine whether the given point is collinear.
A (0, 2), B (1, -0.5), C (2, -3)
Find the slope of a line, correct of two decimals, whose inclination is 75°
Find the slope of a line passing through the given pair of points (3,7) and (5,13)
Find the slope of a line passing through the given pair of points (-5,-1) and (-9,-7)
Find the slope of a line passing through the points (x, 9) and (12, 6) is `(-1)/3 = ("y"_2 - "y"_1)/("x"_2 - "x"_1)`
Find the slope of a line passing through the following pair of points
(5pq,p2q) and (5qr,qr2)
