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anyaivy44
06.10.2019 •
Mathematics
Which equation is a point slope form equation for line ab ?
a.y−2=−2(x+6)y−2=−2(x+6)
b.y−6=−2(x+2)y−6=−2(x+2)
c.y−2=−2(x+2)y−2=−2(x+2)
d.y−2=2(x+2)
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Ответ:
Step 1
Find the equation of the line AB
we know that
the equation of the line into point-slope form is equal to
Let
Find the slope m
we know that
the slope between two points is equal to
substitute
with the slope m and point A find the equation of the line AB
or
with the slope m and point B find the equation of the line AB
we will proceed to verify each case to determine the solution of the problem
Step 2
Verify case A
Case A)![y-2=-2(x+6)](/tpl/images/0293/7315/54b88.png)
the slope of the line is![m=-2](/tpl/images/0293/7315/3a130.png)
but the point
-----> not lie on the line AB (see the graph)
therefore
the case A is not the solution
Step 3
Verify case B
Case B)![y-6=-2(x+2)](/tpl/images/0293/7315/e0329.png)
the slope of the line is![m=-2](/tpl/images/0293/7315/3a130.png)
and the point
-----> is the point A
therefore
the case B is a solution
Step 4
Verify case C
Case C)![y-2=-2(x+2)](/tpl/images/0293/7315/6f571.png)
the slope of the line is![m=-2](/tpl/images/0293/7315/3a130.png)
but the point
-----> not lie on the line AB (see the graph)
therefore
the case C is not the solution
Step 5
Verify case D
Case D)![y-2=2(x+2)](/tpl/images/0293/7315/92df8.png)
the slope of the line is
-----> the slope is not equal to the slope AB
and the point
-----> not lie on the line AB (see the graph)
therefore
the case D is not the solution
the answer is
The equation
is a point-slope form of the line AB
Ответ:
like 7 or 8
Step-by-step explanation:
ive tried this before i had a test with 50 questions i got a 70%, so maybe 6 or 7