Complete the equation of the line through (–9, 7) and (-6, -3).
Use exact numbers.

y= - x - 23

Step-by-step explanation:

Find the slope of the line first by using the equation: y₂-y₁/x₂-x₁

slope = m = -3 - 7/-6 -(-9)

m= -10/3= -

Use point slop form to find b: m(x-x₁)=y-y₁

-(x-(-9))=y-7

Then solve for y to have the equation of the line in slope intercept form

-x - 30=y-7

y= -x-23

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

10

step-by-step explanation:

7+3=10