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3 years ago

Express 3x + 4y = 24 in slope-intercept form.

Mathematics

1 answer:

Ivahew [28]3 years ago

4 0

Slope intercept form is y = mx+ b

4y = -3x + 24

4y = -3(x -8)

hope this helps

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lana66690 [7]

Answer:

Answer 1 :-

$\implies m_1 = -3$

$\implies y - intercept = 7$

Answer 2 :-

$\implies m_1 = -\dfrac{1}{2}$

$\implies y - intercept = -4$

Step-by-step explanation:

The Slope Intercept Form of the line is given to us . The equations given are ,

$\implies y + 3x = 7$

$\implies y + \dfrac{1}{2}x = -4$

Now we know the standard equation of slope intercept form , is

$\implies y = mx + x$

Where ,

m is slope
c is y intercept .

So , we can write about the equations as ,

$\implies y = -3x + 7$

$\implies y = - \dfrac{1}{2}x -4$

On comparing to the Standard form ,

Answer 1 :-

$\implies m_1 = -3$

$\implies y - intercept = 7$

Answer 2 :-

$\implies m_1 = -\dfrac{1}{2}$

$\implies y - intercept = -4$

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