Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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]

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.