$\text { Find the distance between the point } ( - 4,7 ) \text { and line } x - y - 2 = 0 \text { using the formula, }$

question 54

Multiple Choice

$\text { Find the distance between the point } ( - 4,7 ) \text { and line } x - y - 2 = 0 \text { using the formula, }$ Distance $= \frac { \left| A x _ { 1 } + B y _ { 1 } + C \right| } { \sqrt { A ^ { 2 } + B ^ { 2 } } }$ for the distance between the point $\left( x _ { 1 } , y _ { 1 } \right)$ and the line $A x + B y + C = 0$

• A) \(\frac { 11 \sqrt { 2 } } { 2 }\)
• B) \(\frac { 4 \sqrt { 3 } } { 3 }\)
• C) \(\frac { 13 \sqrt { 2 } } { 2 }\)
• D) \(\frac { 9 \sqrt { 2 } } { 2 }\)
• E) \(\frac { 6 \sqrt { 3 } } { 3 }\)

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