The equation of the line is
x
2
−x
1
x−x
1
=
y
2
−y
1
y−y
1
Here (−3,4)≡(x
1
,y
1
),(4,5)≡(x
2
,y
2
)
∴
4+3
x+3
=
5−4
y−4
⇒
7
x+3
=
1
y−4
⇒x+3=7(y−4)
⇒x+3=7y−28
⇒x−7y+3+28=0
⇒x−7y+31=0
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In the first grid more squares are shaded than in the 2nd grid.
Answer:
Cesar goes 1 2\3 miles in an hour
Bella goes 1 1\3 miles in an hour
Cesar is hiking faster
Step-by-step explanation:
Cesar: you half 3 1\3 because you need to half the time of 2 hours to determine how far he goes in an hour. 3 1\3 halved is 1 2\3
Bella: You must multiply 1\3 4 times in order to get the 1\4 hour to a whole hour. 1\3 4 times is 1 1\3.
Speed: Cesar goes 1 2\3 mph while Bella goes only 1 1\3 therefore Cesar is going faster