Question

Use the graph below to answer the following question: If slope is calculated using the equation, "m = (y2-y1) / (x2-x1)," what is the slope of the secant line? Be sure to include all math work and units in your final answer.

Answer 1

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slope = (45 - 0) / (6 - 0)

slope = 45/6

slope = 7.5

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Answer 2

Answer : The slope of the secant line is, 7.5 cm/s

Explanation :

Formula used :

$m=\frac{(y_2-y_1)}{(x_2-x_1)}$

Here,

$x_1,x_2$ are coordinates of time and $y_1,y_2$ are coordinates of position.

$(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(6,45)$

$m=\frac{(45-0)cm}{(6-0)s}$

$m=7.5cm/s$

Thus, the slope of the secant line is, 7.5 cm/s