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.
- The equation for slope-intercept form is <u>y=mx+b, where m= slope (gradient) of the line, b=y-intercept of the line</u>
<u></u>
<u></u>
So let's write this equation, -3x+2y=7, in slope-intercept form...
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First, we add -3x to both sides of the equal sign:
We can switch the order of the terms:
This is starting to look like the slope-intercept equation. In fact, all we have to do is divide both sides by 2:
Which simplifies to...
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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