Question

7. Write the equation -3x +2y = 7 in slope-intercept form.

Answer 1

Answer:

y = 3/2x + 7/2

Step-by-step explanation:

Slope-intercept form is when y is the subject. So we make y the subject:

Add 3x to both sides :

2y = 3x + 7

Now we divide both sides by 2 :

y = 3/2x + 7/2

This is our final answer.

Hope this helped and brainliest please

Answer 2

Hi student, let me help you out! :)

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We are asked to write the equation -3x+2y=7 in slope-intercept form.

$\triangle~\fbox{\bf{KEY:}}$

• The equation for slope-intercept form is y=mx+b, where m= slope (gradient) of the line, b=y-intercept of the line

So let's write this equation, -3x+2y=7, in slope-intercept form...

///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\\////\\\\///\\\////\\\///\\\///\\\////\\\\////\\\\

First, we add -3x to both sides of the equal sign:

$\large\pmb{2y=7+3x}$

We can switch the order of the terms:

$\large\pmb{2y=3x+7}$

This is starting to look like the slope-intercept equation. In fact, all we have to do is divide both sides by 2:

$\large\pmb{y=(3x+7)\div2}$

Which simplifies to...

$\large\pmb{y=\cfrac{3}{2}x+\cfrac{7}{2}}$

That's the equation in slope-intercept form.

Hope this helps you out! :D

Ask in comments if any queries arise.

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