Advertisements
Advertisements
Question
If the X and Y-intercepts of line L are 2 and 3 respectively, then find the slope of line L.
Solution
Given,
x-intercept of line L is 2 and
y-intercept of line L is 3
∴ the line L intersects X-axis at (2, 0) and Y-axis at (0, 3).
i.e. the line L passes through (2, 0) = (x1, y1) and (0, 3) = (x2, y2) say.
Slope of line L = `(y_2 - y_1)/(x_2 - x_1)`
= `(3 - 0)/(0 - 2)`
= `(-3)/2`.
APPEARS IN
RELATED QUESTIONS
Find the slope of the following lines which pass through the point: (– 2, 3), (5, 7)
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)
Find the slope of the line whose inclination is 30°.
Find the slope of the line whose inclination is 45°.
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, 3), (5, 2)
Find the slope of the line which makes an angle of 120° with the positive X-axis.
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).
Does point A(2, 3) lie on the line 3x + 2y – 6 = 0? Give reason.
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.
