Question

y=x2-x-6
y=2x-2
solve. Find coordinates

Answer 1

\[y = x^2 - x - 6\]
\[y = 2x - 2\]
is this the given?

Answer 2

yes but these are the options {(2,2)}{(-1,1), (2,4)){(0,1), (1,2)}{(1,3), (6,13)}{(4,6), (-1,-4)}{(5,-1), (1,-5)}

Answer 3

\[y=x^2-x-6\]
\[y=2x-2\]
Equate the two equations
\[x^2 - x - 6 = 2x - 2\]
\[x^2 - x -2x - 6 + 2 = 0\]
\[x^2 - 3x - 4=0\]
\[(x-4)(x+1)=0\]
\[x=4; x=-1\]
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If x= 4
y = 2x - 2
y = 2(4) - 2
y = 8 - 2
y = 6
(4,6)
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If x=-1
y = 2x - 2
y = 2(-1) - 2
y = -2 - 2
y = -4
(-1,-2)