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Question
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`.
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