Answer:

Step-by-step explanation:

u - v = <5, 2> - <2, - 3> = <5 - 2, 2 + 3> = <3, 5>
given a vector <u, v> then the magnitude is √ (u² + v² ) and it's angle of direction is
θ =
(
)
thus the magnitude of <3, 5> = √(3² + 5²) = √34 ≈ 5.83 ( to 2 dec. places )
Θ =
(
) = 59.04° ( to 2 dec. places )
u can download the gauthmath app i promise it's very helpful :)
So this is using slope-intercept form (y=mx+b)
m is slope and b is the y-intercept
Looking at the graph, the line goes through the y-axis at (0,-5) so -5 is your y-intercept.
The slope of the line can be determine by using "rise over run". Find two points on the graph (I used 0,-5 and 1, -2). Count up from -5 to -2 (you get 3), count over from 0 to 1 (you get 1). Rise over run means that the slope equals 3.
Now, you just have to plug the numbers in.
Slope = 3; y-intercept = -5
y = 3x -5
The answer is A.) Y= 3x - 5
Hope this helps. Lmk if you need any more help :)