Question

On the curve y = x2 + 1, point Q has the coordinates (1.3, 2.69). Estimate the slope of the curve at point Q by taking values very close to the x-coordinate of Q.

Answer 1

Answer: The slope is 2.6 ///……

Answer 2

Slope = 2.6

Explanations:

The formula for calculating the slope of the line on the curve is expressed as:

`Slope=(y_2-y_1)/(x_2-x_1)`

Using the coordinate points B(1.266,2.606) and C(1.366, 2.866) as shown on the graph

`\begin{gathered} slope=(2.866-2.606)/(1.366-1.266) \\ slope=(0.26)/(0.1) \\ slope\approx2.6 \end{gathered}`

Hence the slope of the curve at point Q by taking values very close to the x-coordinate of Q is 2.6