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For this, use the two point formula \(y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1)\)
It's the same as the point slope formula, except \(m\) is replaced with its fraction form given two points.
cant we just find the slope and put it in the formula y=mx+b?
That's what we're doing. This is the fastest way to do it.
oh okay my bad
All you have to do is just plug in all the correct values. You need to decide what you want for your \((x_1, y_1)\) and \((x_2, y_2)\) values.
slope: 4-4/5-2=0/3 y=0/3x+(not sure what b is)
You should use the drawing tool for this
is that correct^^?
Nope, because you need to use the drawing tool since you are not familiar with LaTeX
You don't understand how to use parentheses well either so you have to either use the drawing tool or LaTeX
im quite confused with this problem can u help me pls
Click the writing tool and replace the variables with numbers |dw:1571670706962:dw|
|dw:1571670826081:dw|
Correct.
Oh thats it?
There's an easy way to simplify this and there is a hard way to do it. Nope you're not done.
Continue simplifying
First simplify the fraction
0/3
y-4=0/3(x-2)
Continue using the drawing tool
|dw:1571671255115:dw|
Okay next continue simplifying the fraction. 0/3 = ? (Use the drawing tool)
|dw:1571671458329:dw|
Very good. Now, for the next step, what is the product of zero and any number?
zero? lol
Correct.
So write the next step using the drawing tool
|dw:1571671646427:dw|
Very good. Now all you have to do is add 4 to both sides and you're done.
you mean y+4 and 0+4?
Nope not exactly. Use the drawing tool to perform the step I suggested.
|dw:1571671805881:dw|
|dw:1571671828223:dw|
Correct
and do I have to add all this in my answer?
Depends on what your teacher wants. But those are all the steps, so if he or she requested for you to include all steps, then YES you have to provide all the steps. If they only want the answer, then provide only the answer.
and isnt the answer the equation we got which was y-4=0/3(x-2)?
The answer is what we already agreed to that has the form \(y = a\) with \(a\) being a real number.
y - 4 = (0/3)(x - 2) is not in complete simplified form.
no I mean the equation before it getting simplified. what would that be?
Remember, the point slope form is \(y = mx + b\)
Since we found that \(m = 0\) the \(mx\) simplifies to \(0\)
Leaving just \(y = b\)
Get it?
oh okay so it would be y=b
y=4*
Correct
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