Question

Does anyone know how to solve this? I need a step by step solving please!! I really want to understand it

Answer 1

Answer:

Step-by-step explanation:

sure, shuu,   :P  

components means   the X, and Y .. components of the vector, V.  The vector is just another name for the line.  :/   just making sure we're talking the same lingo.  

so find the slope of the line.... recall,  it's usually named  m

m=slope

I have a cut a paste formula for this b/c it's asked about so often.

m = (y2-y1) / (x2-x1)

we are given P1  and P2

point P1 (-3,-1)  in the form (x1,y1)

point P2(1,4)  in the form (x2,y2)

plug those numbers in to find the slope

m = (4-(-1)) / (1-(-3))

notice that i've paid extra close attention to the negatives

m = (4+1) / (1+3)

m = 5 / 4

now we've got the slope.  Now just plug in either point,  both will work , into the point slope formula,  just memorize this formula below. You'll need it so often.  keep in mind that there is also  a slope intercept formula too, just keep them separate.  we get the slope intercept from the point slope.  if that helps?

y - y1 = m(x -x1)

using P2

y-4 = (5/4)(x-1)

y-4 = (5/4)x - 5/4

y = (5/4)x - 5/4 + 4

y =(5/4)x + 2$\frac{3}{4}$  ( this is the slope intercept formula)  y = mx + b

in this form, you can find y for any x,   Does this make sense?