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Find the gradient of a line and also find the gradient of the perpendicular line on the following line.y= 3x – 5 |
Answer» EXPLANATION.EQUATION of the line. ⇒ y = 3x - 5. As we know that, ⇒ Gradient of line = slope of the line. ⇒ The line is in the FORM of : y = mx + c. ⇒ Gradient of line = 3. ⇒ Gradient of perpendicular line = b/a. We can write equation as, ⇒ 3x - y - 5 = 0. ⇒ Gradient = b/a = -1/3. MORE INFORMATION.Equation of tangent.Equation of tangent to the curve y = f(x) at P(x₁, y₁) is, (y - y₁) = m(x - x₁). (1) = The tangent at (x₁, y₁) is PARALLEL to x-axes = (dy/dx) = 0. (2) = The tangent at (x₁, y₁) is parallel to y-axes = (dy/dx) = ∞. (3) = The tangent lines makes EQUAL angles with the axes = (dy/dx) = ± 1. |
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