Mathematics: 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

montgomerykarloxc24x

13.03.2022

D . ((y+2)=-2(x-5)

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 :-

$(y-d)=\dfrac{d-b}{c-a}(x-c)$

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 :-

$(y-(-2))=\dfrac{-2-6}{5-1}(x-5)$

$\Rightarrow\ (y+2)=\dfrac{-8}{4}(x-5)$

$\Rightarrow\ (y+2)=-2(x-5)$

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

(y+2)=-2(x-5)

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