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प्रश्न
Find the slope of the line which makes intercepts 3 and – 4 on the axes.
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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`.
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संबंधित प्रश्न
Find the slope of the following lines which pass through the point: (– 2, 3), (5, 7)
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A line makes intercepts 3 and 3 on coordinate axes. Find the inclination of the line.
Find the slope of the line which makes angle of 45° with the positive direction of the Y-axis measured clockwise.
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Find the slope of the line which makes an angle of 120° with the positive X-axis.
Find the slope of the line which passes through the points A(–2, 1) and the origin.
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.
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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°.
