Maharashtra State BoardHSC Science (Electronics) 11th
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If the X and Y-intercepts of lines L are 2 and 3 respectively then find the slope of line L. - Mathematics and Statistics

Sum

If the X and Y-intercepts of lines L are 2 and 3 respectively then find the slope of line L.

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Solution

Given, x-intercept of line L is 2 and
the y-intercept of line L is 3
∴ The line L intersects X-axis at (2, 0) and Y-axis at (0, 3).
∴ The line L passes through (2, 0) and (0, 3).
∴ Slope of line L = `(y_2 - y_1)/(x_2 - x_1)=(3 - 0)/(0 - 2)=(-3)/2`

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