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Find the slope of the line which makes intercepts 3 and – 4 on the axes. - Mathematics and Statistics

Sum

Find the slope of the line which makes intercepts 3 and – 4 on the axes.

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Solution

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`.

Concept: Line
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 5 Locus and Straight Line
Miscellaneous Exercise 5 | Q 2. (b) | Page 79
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