Answer:
see the explanation
Step-by-step explanation:
we have
This is the equation of a line in point slope form
where
the point is (-2,4)
the slope is m=1/3
Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
so
To graph the line
1. Plot the point (–2,4).
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points
For part A, we will see that the distance is 7 units. For part B, the distance from Nina's house to the school to the grocery store is larger.
<h3>How to find the distances?</h3>
Remember that the distance between two points (a, b) and (c, d) is:
A) Her house is at (-4, 10), and her school is at (-4, 3), so the distance is:
The distance is 7 units.
B) In the first case, the distance between the school and the grocery store is:
So the total distance is 9 + 7 = 16
And the distance between the school and the community center is:
So the total distance is 6 + 7 = 13
So we can see that the total distance from Nina's house, to the school, to the grocery store is larger than the other.
If you want to learn more about distance:
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