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Andrei [34K]
3 years ago
10

A line with a slope of -1/3 passes through the point (9,3). What is its equation in point-slope form?

Mathematics
1 answer:
amm18123 years ago
7 0

The point-slope form:

y-y_1=m(x-x_1)

We have:

(9,\ 3)\to x_1=9,\ y_1=3\\\\m=-\dfrac{1}{3}

Substitute

y-3=-\dfrac{1}{3}(x-9)

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Find the solution set (x,y,z) of the system:<br> 3x-2y+4z=6<br> 2y-3z=20<br> 6z=12
gizmo_the_mogwai [7]

Answer:

The solution is x = 8, y = 13 and z = 2.

Step-by-step explanation:

We are given a system of equations with the variables x, y, and z from which we have to solve for x, y, and z.

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3x - 2y + 4z = 6 ........ (1)

2y - 3z = 20 .......... (2)

6z = 12 ......... (3)

Now, from equation (3),  we get z = 2.

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