HELP ME PLEASE I need it
1 answer:
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If you know the coordinates of two points
of two points, the slope of the line passing through them is given by
So, if we choose in this example
The slope is
9514 1404 393
Answer:
7.2
Step-by-step explanation:
The problem statement tells you to use the distance formula to find the distance between points A and B. In order to do that, you need to read their coordinates from the graph. You find A(-5, 5) and B(1, 1).
The distance formula is ...
Using the point coordinates, the formula tells us the distance is ...
d = √((1-(-5))² +(1-5)²) = √(6² +(-4)²)
d = √(36 +16) = √52 ≈ 7.2111
Rounding the distance to the nearest tenth, we have ...
length AB ≈ 7.2 units
_____
<em>About the Pythagorean theorem</em>
If you draw point C(-5, 1) on the graph, then you can see that triangle ABC is a right triangle. It has legs AC and BC. You can subtract coordinates or count grid squares to see that the lengths of those legs are AC = 4, BC = 6.
The Pythagorean theorem tells you the square of the hypotenuse (AB) is the sum of the squares of the sides (AC and BC).
AB² = 4² +6² = 16 +36 = 52
AB = √52 . . . . as above