Question

Determine the distance between the line y = −4x − 7 and the point (1, 1). (Express the
distance in exact, simplified form.)

Answer 1

$distance = | \frac{(- 4 \times 1) + (- 1 \times 1)-7}{ \sqrt{ {( - 4)}^{2} + {( - 1)}^{2} } } | \\= \frac{ - 12}{ \sqrt{17 } } \\ = \frac{ - 12 \sqrt{17} }{17} \\ = - 2.91$