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Answer this please !

Answer this please !-example-1
User Lolix
by
7.4k points

2 Answers

3 votes

Answer:

slope = 6

Explanation:

substitute the given points into the equation of the curve to find a and b

(2, a )


(a)/(2) = 2² - 7 = 4 - 7 = - 3 ( multiply both sides by 2 to clear the fraction )

a = - 6

then point (2, a ) = (2, - 6 )

(1, b )


(b)/(2) = 1² - 7 = 1 - 7 = - 6 ( multiply both sides by 2 )

b = - 12

then point (1, b ) = (1, - 12 )

calculate the slope m using the slope formula

m =
(y_(2)-y_(1) )/(x_(2)-x_(1) )

with (x₁, y₁ ) = (2, - 6 ) and (x₂, y₂ ) = (1, - 12 )

m =
(-12-(-6))/(1-2) =
(-12+6)/(-1) =
(-6)/(-1) = 6

User Bar Nuri
by
8.0k points
0 votes

Answer:

6

Explanation:


(y)/(2) =x^(2) -7


(a)/(2) =2^(2) -7


(a)/(2) =-3


a=-6


(b)/(2) =1^(2) -7


(b)/(2) =-6


b=-12

From the calculations above, we learn that line l and the curve intersect at (2, -6) and (1, -12). Next, we will set up a system of linear equations to solve for the slope and the y-intercept of line l.


-6=2m+b


-12=m+b


-24=2m+2b


18=-b


b=-18


-12=m-18


m=6

Therefore, the slope of line l is 6.

User Starlays
by
8.2k points

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