Question

c) The line $p$ makes intercepts with the axes at A and B such that $|OB| = 2|OA|$ as shown. i. Write down the slope of $p$. ii. The point C$(-2, 1)$ is on the line $p$. Find the equation of $p$ and write it in the form $ax + by + c = 0$. iii. The line $q$ is perpendicular to $p$ and contains the origin, O$(0, 0)$. Find the equation of $q$.

          c) The line $p$ makes intercepts with the axes at A and B such that $|OB| = 2|OA|$ as shown.
i. Write down the slope of $p$.
ii. The point C$(-2, 1)$ is on the line $p$. Find the equation of $p$ and write it in the form $ax + by + c = 0$.
iii. The line $q$ is perpendicular to $p$ and contains the origin, O$(0, 0)$. Find the equation of $q$.

c) The line p makes intercepts with the axes at A and B such that |OB| = 2|OA| as shown.
i. Write down the slope of p.
ii. The point C(-2, 1) is on the line p. Find the equation of p and write it in the form ax + by + c = 0.
iii. The line q is perpendicular to p and contains the origin, O(0, 0). Find the equation of q.

Added by Julie L.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Madhur L

08/02/2023

Step 1

We are given that $|OB| = 2|OA|$. Let's assume that the coordinates of A are $(a, 0)$ and the coordinates of B are $(0, 2a)$. Then the slope of line $p$ is given by: $$m_p = \frac{2a - 0}{0 - a} = \frac{2a}{-a} = -2$$ Show more…

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c) The line $p$ makes intercepts with the axes at A and B such that $|OB| = 2|OA|$ as shown. i. Write down the slope of $p$. ii. The point C(-2, 1) is on the line $p$. Find the equation of $p$ and write it in the form $ax + by + c = 0$. iii. The line $q$ is perpendicular to $p$ and contains the origin, O(0, 0). Find the equation of $q$.