A vector has initial point at (3, –5) and terminal point at (–2, 3). What are the characteristics of this vector? The magnitude is StartRoot 13 EndRoot, and the direction angle is about 58°.
The magnitude is StartRoot 13 EndRoot, and the direction angle is about 122°.
The magnitude is StartRoot 89 EndRoot, and the direction angle is about 58°.
The magnitude is StartRoot 89 EndRoot, and the direction angle is about 122°.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

there are no answer choices

step-by-step explanation:

answer: 8

step-by-step explanation: