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tensa zangetsu [6.8K]
4 years ago
12

A line passes through the point (4,8) and has a slope of -3/2Write an equation in Ax+By=C

Mathematics
1 answer:
nydimaria [60]4 years ago
6 0

Answer:

The answer is

<h2>3x + 2y = 28</h2>

Step-by-step explanation:

To find an equation of the line using a point and the slope we use the formula

y - y1 = m(x - x1)

where

m is the slope

(x1 , y1) is the point

From the question

slope = -3/2

Point = (4,8)

So the equation of the line is

y - 8  =  -  \frac{3}{2} (x - 4)

Multiply through by 2

2y - 16 = -3( x - 4)

2y - 16 = - 3x + 12

3x + 2y = 16 + 12

We have the final answer as

<h3>3x + 2y = 28</h3>

Hope this helps you

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