Which equation is a point slope form equation for line ab ? y+1=2/3(x−4) y+1=3/2(x−4) y+1=−2/3(x−4) y+1=−3/2(x−4) a graph with a line running through point a, with coordinates (4, -1), and point b, with coordinates (-2, 3)

C) y + 1 = -2/3(x - 4)

Step-by-step explanation:

The given line passes through the points A (4, -1) and B (-2, 3)

Let's find the slope now.

Slope (m) = (y2 - y1)/(x2 - x1)

= (3 - (-1)) / (-2 - 4)

= (3 + 1)/-6

= 4/-6

Slope (m) = -2/3

The equation of line y - y1 = m (x - x1)

y - (-1) = -2/3(x - 4)

y + 1 = -2/3(x - 4)

 C) y + 1 = -2/3(x - 4)

Thank you.

1. minimum

2. 6400

3. eight

hope this !

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.