Find the gradient of the line that passes through the points (0,13)

and (2,5)

.

asked by guest
on Nov 17, 2024 at 7:36 pm



You asked:

Calculate the slope of the line passing through \(\left(0, 13\right)\) and \(\left(2, 5\right)\).

MathBot Answer:

\[ \text{slope} = -4 \]

The slope of the line through the two distinct points \((x_1, y_1)\) and \((x_2, y_2)\), where \(x_1 \ne x_2\), is given by the formula: \[\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}\] Therefore: \[ \begin{aligned} \text{slope} &= \frac{y_2-y_1}{x_2-x_1} \\ &= \frac{ 5 - 13 }{ 2 - 0 } \\ &= \frac{ -8 }{ 2} \\ &= -4 \end{aligned} \]

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