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Answer:
slope = 1/4
Step-by-step explanation:
To find the slope, I chose two points where the line intersected the graph at an exact point.
Points:
(0, -8)
(4, -7)
Slope is the measure of rise over run, so starting at (0, -8) I went up one and to the right 4 times.
To put this as a fraction, we would have: 1/4
The numerator and denominator are positive because we went up and to the right.
Therefore, the slope is 1/4.
Answer:
Step-by-step explanation:
a). Given a parametric equation, we are describing a set of coordinates based on the value of t. The variable t is called the parameter.
b) we have the following equations. x=t y=t^2, so in order for us to know where the object is at t=t' we must replace t with the specific value t'. Hence, when t=0 the object is at (0,0^2) = (0,0) (the origin). When t=6, the object is at (6,6^2) = (6,36).
c). To eliminate the parameter, we replace the parameter in one equation by using the second equation. Recall that we have that x=t. Then, by replacing in the second equation, we have the following
where