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Answer:
The the equation of the line through the points (8, -2) and (5, 5) in slope-intercept form is
Step-by-step explanation:
Let's start by calculation the slope of the line by finding the slope of the segment that joins the two given points (8, -2) and (5, 5):
Now we use this slope in the general slope-intercept form of a line;
and then we calculate the value of the intercept "b" by using one of the given points through which the line must pass (for example (5,5) ), and solving for b:
The the equation of the line is
STAN walk 10 km to the grocery store.
He stops then walks 10 km east back to his house.
Let us draw this situation to better understand the problem.
As you can see, Stan first walked to the grocery store and covered a distance of 10 km then he came back to the house from the grocery store and covered a distance of 10 km.
So the total distance is 10 + 10 = 20 km
On the other hand, notice that Stan is exactly at the point where he first started that is his house, therefore, the displacement is 0 in this case.
Recall that the displacement is a vector quantity so the direction of travel also matters.
From house to grocery store = 10 km
From the grocery store to house = -10 km
Overall displacement = 10 km - 10 km = 0 km
Therefore,
Distance = 20 km
Displacement = 0 km
