I’m not sure how to work this out could someone help me please

Remember slope is the rise over run.

Step-by-step explanation:

So it would be y=-4x+1.

y=4/3x+4

Step-by-step explanation:

Slope intercept form is y=mx+b

m is always the slope and b is always the y-intercept

These are the steps to find the equation of any graph:

First, fine the y-intercept. That's the point where the graph crosses the y-axis (the line going up and down). So b=4

Then, to find the slope, you literally count how many you go up or down (rise) and left or right (run) to get to another point. You can choose any point on the graph you want. I'll choose the point (-3,0). So you start at (0,4) and you go down 4 and left 3 to get to the second point. So the slope = rise/run = -4/-3 so m=4/3

Now plug the slope (m) and y-intercept (b) into the slope-intercept equation

y=mx+b

y=4/3x+4

Follow these steps for any similar problem, just start with the y-intercept and count the rise over run to find the slope, then plug in the slope and the y-intercept.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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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.