1. Rate of Change and Slope
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The Slope Formula is m= y_2-y_1x_2-x_1.
Slope: - 0.048352
Graph:
Does the Slope Match the Direction of This Line? Yes, because the slope is approximately -0.05 and the line slopes downward from left to right.
Substitute ( - 42.25,5.2) & ( 3.25,3)
a-(- b)=a+b
Add and subtract terms
Put minus sign in front of fraction
Use a calculator
Finally, let's plot the given points and connect them with a line to check if the direction of the slope matches what we calculated above.
Observing the graph, we can confirm that as x moves in the positive direction, y moves in the negative direction.