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Andreyy89
3 years ago
13

What is the slope intercept form of the equation of the line shown below

Mathematics
2 answers:
Orlov [11]3 years ago
7 0

Answer:

y = 4/3x -4

Step-by-step explanation:

First find the slope

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

    = ( 0 -  -4)/( 3 - 0)

   = (0+4)/( 3-0)

   = 4/3

The y intercept is -4

The slope intercept form of the equation is

y = mx+b  where m is the slope and b is the y intercept

y = 4/3x -4

omeli [17]3 years ago
4 0

Answer:

y=\frac{4}{3}x-4

Step-by-step explanation:

----------------------------------------

The slope-intercept form formula is: y=mx+b

The m stands for the slope and the b stands for the y-intercept.

By looking at the graph, I can figure out that the y-intercept is -4 because y-intercept is where the lines cross the y-axis and in this graph, the line crosses the y-axis at (0,-4).

The slope is \frac{4}{3} because to get to the ordered pair (3,0), from (0,-4), you would have to go up 4 and over 3 to the right so it's \frac{4}{3}

So now, if we insert the values in the formula, it would be y=\frac{4}{3}x-4

----------------------------------------

Hope this is helpful.

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Find the maximum and minimum values attained by f(x, y, z) = 5xyz on the unit ball x2 + y2 + z2 ≤ 1.
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f_x=5yz=0\implies y=0\text{ or }z=0
f_y=5xz=0\implies x=0\text{ or }z=0
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Taken together, we find that (0, 0, 0) appears to be the only critical point on f within the ball. At this point, we have f(0,0,0)=0.

Now let's use the method of Lagrange multipliers to look for critical points on the boundary. We have the Lagrangian

L(x,y,z,\lambda)=5xyz+\lambda(x^2+y^2+z^2-1)

with partial derivatives (set to 0)

L_x=5yz+2\lambda x=0
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