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Determine the equation of the straight line that passes through the point (-2, -4)and is perpendicular to the line y +2x=1

Sagot :

If the line is perpendicular to:

[tex]y=-2x+1[/tex]

the we know that the slope will be the negative reciproc of the slope so the new slope is:

[tex]m=\frac{1}{2}[/tex]

So the equation is:

[tex]y=\frac{1}{2}x+b[/tex]

So we can replace the coordinate (-2,-4) and solve for b so:

[tex]\begin{gathered} -4=\frac{1}{2}(-2)+b \\ -4+1=b \\ -3=b \end{gathered}[/tex]

So the final equation is:

[tex]y=\frac{1}{2}x-3[/tex]

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