Which equation is a point slope form equation for line AB ? A。 y+1=−23(x−4) B。y+1=−32(x−4) C。y+1=23(x−4) D。 y+1=32(x−4)

Which equation is a point slope form equation for line AB A y123x4 By132x4 Cy123x4 D y132x4 class=

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Answer: The correct option is A.

Explanation:

From the given figure it is noticed that the coordinates of point A are (4,-1) and the coordinates of B are (-2,3).

The slope form of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is,

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line AB passing through two points A(4,-1) and B(-2,3).

Using the above formula,

[tex]y-(-1)=\frac{3-(-1)}{-2-4}(x-4)[/tex]

[tex]y+1=\frac{3+1}{-6}(x-4)[/tex]

[tex]y+1=\frac{4}{-6}(x-4)[/tex]

[tex]y+1=-\frac{2}{3}(x-4)[/tex]

Therefore, the option A is correct.

Answer:

The correct option is A

Step-by-step explanation:

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