Advertisements
Advertisements
प्रश्न
Find the slope of the line which makes intercepts 3 and – 4 on the axes.
उत्तर
Given, x-intercept of line is 3
and y-intercept of line is – 4
∴ The line intersects X-axis at (3, 0) and Y-axis at (0, – 4).
∴ The line passes through (3, 0) = (x1, y1) and (0, – 4) = (x2, y2) say.
∴ Slope of line = `(y_2 - y_1)/(x_2 - x_1)`
= `(-4 - 0)/(0 - 3)`
= `(-4)/(-3)`
= `4/3`.
APPEARS IN
संबंधित प्रश्न
Find the slope of the following lines which pass through the point: (2, – 1), (4, 3)
Find the slope of the following lines which pass through the point: (2, 3), (2, – 1)
Find the slope of the following lines which pass through the point: (7, 1), (– 3, 1)
If the X and Y-intercepts of line L are 2 and 3 respectively, then find the slope of line L.
A line makes intercepts 3 and 3 on coordinate axes. Find the inclination of the line.
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), (3, –1)
Find the slope of the line passing through the following point: (2, – 5), (3, – 1)
Find the slope of the line which makes an angle of 120° with the positive X-axis.
Find the value of k: if the slope of the line passing through the points (3, 4), (5, k) is 9.
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.