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How do you do you figure out an equation in slope intercept form given the slope and a point

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Given

How to figure out an equation in slope-intercept form given the slope and a point​

Solution

Let the point be (a,b) and slope m


\begin{gathered} y-b=m(x-a) \\ \text{open the bracket} \\ y-b=mx-ma \\ we\text{ can make y the subject of the formula} \\ y=mx-ma+b \end{gathered}

you can write the equation of any line in the form of y = mx + b

User Yingqiang Gao
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