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nasty-shy [4]
3 years ago
11

Write an equation in point-slope form for the line through the given point that has the given slope (-2,-7);m=-3/2

Mathematics
1 answer:
love history [14]3 years ago
8 0

For this case we have that the point-slope equation of a line is given by:

(y-y_ {0}) = m (x-x_ {0})

Where:

m: It's the slope

(x_ {0}, y_ {0}): It is a point

We have as data that:

(x_ {0}, y_ {0}): (- 2, -7)\\m = - \frac {3} {2}

We replace:

(y - (- 7)) = - \frac {3} {2} (x - (- 2))\\(y + 7) = - \frac {3} {2} (x + 2)

Answer:(y + 7) = - \frac {3} {2} (x + 2)

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What is the solution to this system of equations?<br><br><br>4x + 5y = 7<br><br><br>3x – 2y = –12
oksano4ka [1.4K]

Answer:

x = -2 and y = 3

Step-by-step explanation:

It is given that,

4x + 5y = 7    -----(1)

3x – 2y = –12   ----(2)

<u>To find the value of x and y</u>

eq(1) * 3 ⇒

12x + 15y = 21   ----(3)

eq(2) * 4 ⇒

12x - 8y = -48  ---(4)

eq(3) - eq(4) ⇒

12x + 15y = 21   ----(3)

<u>12x - 8y = -48 </u> ---(4)

 0 + 23y = 69

y = 69/23 = 3

Substitute the value of y in eq(1)

4x + 5y = 7    ----(1)

4x + 5*3 = 7

4x = 7 - 15 = -8

x = -8/4 = -2

Therefore x = -2 and y = 3

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3 years ago
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