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General form is Ax + By + C = 0 but it's easier to first start out with the point slope form and then change it over to general form. Let's use the slope intercept form. y = mx + b y = (-1/3)x + (10/3) Then we re-arrange it to general form. Let's multiply both sides by 3 3y = -x +10 Now let's move it over all to one side. 3y+x+10 Would be center option.
Oh! So you just re-arrange?
Yes. Since you're given the INTERCEPT we need to use the Slope INTERCEPT form first instead of the general form. So you plug in the intercept into the "b" of the equation, and the slope into the "m" and then re-arrange.
Thank you! :D
I tried doing another one like it, based off what you said. But I'm still having trouble. Could you help me with this one too?
Sure.
Okay, so again, we use the slope intercept form. y = mx + b So what's b? It's 5 in this problem. What's m? It's -1/5 y = (-1/5)x + 5 Multiply both sides by 5 to get rid of the fraction 5y = -x + 25 Move everything to one side 5y+x-25
I see where I went wrong! I wrote 5 instead of 25
Just wanted to follow up, I got the first one wrong. the answer should have been x + 3y - 10 = 0
My apologies, I accidentally put a minus instead of a plus. The explanation, though, is correct and it was just a typo.
Oh that's fine! Thank you anyways :)
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