What is the solution to the following system of equations:7x+2y=248x+2y=30
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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 ( this is the slope intercept formula) y = mx + b
in this form, you can find y for any x, Does this make sense?