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Question 5.
The function given shows represents height after a certain time. The distance measures is initial distance till the distance covered when the time is calculated. The question has given us an initial distance of 100 feet and they want us to calculate the time when the egg hits the ground, or, in other words, 0 feet. So, next, we substitute this information in the equation.
The function given shows represents height after a certain time. The distance measures is initial distance till the distance covered when the time is calculated. The question has given us an initial distance of 100 feet and they want us to calculate the time when the egg hits the ground, or, in other words, 0 feet. So, next, we substitute this information in the equation.
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Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: where m is the slope and b is the y-intercept (the value of y when x is 0).
<u>1) Determine the slope (m)</u>
where two points on the line are
and
In the graph, the points (-3,-6) and (2,-2) are plotted clearly, so we can use these to help us find the slope. Plug them into the equation:
Therefore, the slope of the line is . Plug this into
:
<u>2) Determine the y-intercept (b)</u>
Typically, given a graph, we could look at where exactly the line crosses the y-axis to determine b. However, because it appears ambiguous on this graph, we must solve it algebraically.
Plug in one of the given points (2,-2) and solve for b:
Subtract from both sides to isolate b
Therefore, the y-intercept of the line is . Plug this back into
:
I hope this helps!