Vector vec(AB) has a terminal point (4,-7), an x component of -3 , and a y component of -9 . Find the coordinates of the initial point, A. A=(◻,◻)

Find x coordinate of A: The x component of vec(AB) is the difference in the x coordinates of B and A. We are given the x component is -3, and the terminal point B has an x coordinate of 4. To find the x coordinate of A, we add the x component to the x coordinate of B. A_x = B_x + (-x component) A_x = 4 + (-(-3)) A_x = 4 + 3 A_x = 7Find y coordinate of A: The y component of vec(AB) is the difference in the y coordinates of B and A. We are given the y component is -9, and the terminal point B has a y coordinate of -7. To find the y coordinate of A, we add the y component to the y coordinate of B. A_y = B_y + (-y component) A_y = -7 + (-(-9)) A_y = -7 + 9 A_y = 2Coordinates of initial point A: The coordinates of the initial point A are (7, 2).

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Vector
vec(AB) has a terminal point
(4,-7), an
x component of -3 , and a
y component of -9 .
Find the coordinates of the initial point,
A.

A=(◻,◻)

Vector $\overrightarrow{A B}$ has a terminal point $(4,-7)$ , an $x$ component of $-3$ , and a $y$ component of $-9$ . $\newline$ Find the coordinates of the initial point, $A$ . $\newline$ $A=(\square, \square)$

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Algebra 2

Write equations of cosine functions using properties

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Q. Vector

\overrightarrow{A B}

has a terminal point

(4,-7)

, an

x

component of

-3

, and a

y

component of

-9

\newline

Find the coordinates of the initial point,

A

\newline

A=(\square, \square)

Find x coordinate of A: The x component of $\vec{AB}$ is the difference in the x coordinates of B and A. We are given the x component is $-3$ , and the terminal point B has an x coordinate of $4$ . To find the x coordinate of A, we add the x component to the x coordinate of B. $A_x = B_x + (-\text{x component})$ $A_x = 4 + (-(-3))$ $A_x = 4 + 3$ $A_x = 7$
Find y coordinate of A: The y component of $\vec{AB}$ is the difference in the y coordinates of B and A. We are given the y component is $-9$ , and the terminal point B has a y coordinate of $-7$ . To find the y coordinate of A, we add the y component to the y coordinate of B. $A_y = B_y + (-y \text{ component})$ $A_y = -7 + (-(-9))$ $A_y = -7 + 9$ $A_y = 2$
Coordinates of initial point A: The coordinates of the initial point A are $(7, 2)$ .