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Which equation is a point slope form equation for line AB ?

A. y+1=−2(x−6)

B. y+6=−2(x−1)

C. y+5=−2(x−2)

D. y+2=−2(x−5)

Which equation is a point slope form equation for line AB A y12x6 B y62x1 C y52x2 D y22x5 class=

Respuesta :

writersenpai
I believe the answer is D
y+2=-2(x-5)
-2*-5=10
y+2=-2x+10
-2 -2
y=-2x+8
JeanaShupp

Answer: D . [tex]((y+2)=-2(x-5)[/tex]

Step-by-step explanation:

The equation of a line passing through two points (a,b) and (c,d) in point-slope form is given by :-

[tex](y-d)=\dfrac{d-b}{c-a}(x-c)[/tex]

From the given graph ,it can be seen that the line is passing through two points A(1,6) and B(5,-2).

Then the equation for the line AB in point-slope form would be :-

[tex](y-(-2))=\dfrac{-2-6}{5-1}(x-5)[/tex]

[tex]\Rightarrow\ (y+2)=\dfrac{-8}{4}(x-5)[/tex]

[tex]\Rightarrow\ (y+2)=-2(x-5)[/tex]

Hence, the equation is a point slope form equation for line AB :

[tex](y+2)=-2(x-5)[/tex]

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