Answer:
these problems are always tough b/c they want you to translate normal thinking into math jargon :D soooo....
Step-by-step explanation:
they use the point slope formula... which looks like
y =
= m(x -
)
where (
,
) are the x , y coordinates of some point you're given.. sooo
they give us two points.. so we can put either one of those into the formula.. but we also have to find m.... or the slope ... to find m.. use the slope equation of
m = (
-
) / (
-
)
call either point P1 and P2 ... i'll pick the top point as P1 and bottom as P2
then
m = ( -3 -1 ) / ( 1 - 3 )
m = -4 / -2
m = 2 ( yay :) )
now use either point and plug it into the point slope formula, i'll use P1
y - 1 = 2(x-3) ( this is the answer they are looking for )
= -0.496 hope this helps a little doing know if it’s right or not
Download Photomath. Just take a picture and it gives you the answer along with the explanation
I assume you want the equation to be solved, so this is a quadratic simultaneous equation.
y = x^2-x-3 ——— (1)
y = -3x+5 ——— (2)
Sub (1) into (2)
(This is the first three steps provided)
x^2-x-3 = -3x+5
0 = x^2+2x-8
0 = (x-2)(x+4) ——— (3)
Solve for x in (3):
x-2 = 0
x = 2
x+4 = 0
x = -4
Sub x into (2)
y = -3(2) + 5
y = -1
y = -3(-4) + 5
y = 17
Hence the solution sets are:
x=2, y=-1
x=-4, y=17
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