Write an equation of the line with the given slope and y-intercept. slope: -3
y-intercept: -6

y=-3x-6

Step-by-step explanation:

Slope intercept form is y=mx+b

m is the slope  (in this problem that is -3)

b is the y-intercept  (in this problem that is -6)

Plug the slope and intercept you were given in and you get the equation of the line in slope intercept form

y=-3x-6

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

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