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35 votes
Find the equation of a line (in y=mx+b form) through the point (-2,5) with an angle of inclination of 45°

User Cayhorstmann
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1 Answer

18 votes
18 votes

Ok, so

Let me draw the situation here below:

Remember that the slope of a line is given by the formula:


\begin{gathered} m=\tan (\theta) \\ m=\tan (45)=1 \end{gathered}

The slope of our line will be 1.

Now, we could use the equation:


y=y_1+m(x-x_1)

Where (x1,y1) is a point of the line and m is the slope. Replacing our values:


\begin{gathered} y=5+1(x-(-2)) \\ y=5+x+2 \\ y=x+7 \end{gathered}

Therefore, the equation is y=x+7.

Find the equation of a line (in y=mx+b form) through the point (-2,5) with an angle-example-1
User Theprof
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