Find the distance between the point and the line. Round your answer to four decimal places.
A) $d \approx 3.7889$
B) $d \approx 1.7889$
C) $d \approx 2.7889$
D) $d \approx 0.7889$
E) $d \approx 4.7889$

Question

Find the distance between the point and the line. Round your answer to four decimal places.  
A) $d \approx 3.7889$ 
B) $d \approx 1.7889$ 
C) $d \approx 2.7889$ 
D) $d \approx 0.7889$ 
E) $d \approx 4.7889$

Quizplus · Accepted Answer

Using the point-to-line distance formula, we get $$d=\frac{\lvert Ax+By+C\rvert}{\sqrt{A^2+B^2}}=\frac{\lvert -6+4-1\rvert}{\sqrt{1+16}}\approx 1.7889.$$ The correct answer is therefore (B).

Find the Distance Between the Point and the Line d≈3.7889d \approx 3.7889d≈3.7889

Find the Distance Between the Point and the Line $d \approx 3.7889$