Answer: A
Step-by-step explanation: true true true
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and c the y- intercept )
(1)
Here m = 6 and b = - 2, then
y = 6x - 2
(2)
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Here m = - 2 and b = 5, then
y = - 2x + 5 ← equation in slope- intercept form
Add 2x to both sides
2x + y = 5 ← equation in standard form
(3)
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (6, - 13) and (x₂, y₂ ) = (- 4, - 3)
m =
=
= - 1 , then
y = - x + b ← is the partial equation
To find b substitute either of the 2 points into the partial equation
Using (- 4, - 3 ) , then
- 3 = 4 + b ⇒ b = - 3 - 4 = - 7
y = - x - 7 ← equation in slope- intercept form
Add x to both sides
x + y = - 7 ← equation in standard form
The correct form of vector v expressed as a <em>linear</em> combination of the <em>unit</em> vectors i and j is
.
<h3>What is the value of a vector with respect to another vector?</h3>
First, we need to determine the value of the vector u by subtracting two vectors whose <em>initial</em> points are at the origin:

(1)
According to the statement, vector v is antiparallel to vector u and its magnitude is five times as the magnitude of vector v, which means that (1) must be multiplied by two scalars:
(2)
Please notice that antiparallelism is represented by the scalar - 1, whereas the dilation is represented by the scalar 5.

The correct form of vector v expressed as a <em>linear</em> combination of the <em>unit</em> vectors i and j is
.
<h3>Remark</h3>
The statement presents typing mistakes, correct form is shown below:
<em>Vector u has initial points at (21, 12) and its terminal point at (19, - 8). Vector v has a direction opposite that of u, whose magnitud is five times the magnitud of v. Which is the correct form of vector v expressed as a linear combination of the unit vectors i and j?</em>
To learn more on vectors: brainly.com/question/13322477
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