Question

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

Answer 1

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`.