Question

Answer this please !

Answer 1

Answer:

slope = 6

Step-by-step explanation:

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

(2, a )

$\frac{a}{2}$ = 2² - 7 = 4 - 7 = - 3 ( multiply both sides by 2 to clear the fraction )

a = - 6

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

(1, b )

$\frac{b}{2}$ = 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 = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

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

m = $\frac{-12-(-6)}{1-2}$ = $\frac{-12+6}{-1}$ = $\frac{-6}{-1}$ = 6

Answer 2

Answer:

6

Step-by-step explanation:

$\frac{y}{2} =x^{2} -7$

$\frac{a}{2} =2^{2} -7$

$\frac{a}{2} =-3$

$a=-6$

$\frac{b}{2} =1^{2} -7$

$\frac{b}{2} =-6$

$b=-12$

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.