Question

Find the distance from the point (−10,−5) to the line y = −5x − 3. Question 21 options: 46‾√ 4 6 units 26‾‾‾√ 26 units 24‾‾‾√ 24 units 226‾‾‾√ 2 26 units

Answer 1

`2√(26) units`

Explanation:

1. if suppose the point M(-10;-5) and the line 5x+y+3=0, then coordinates of the point are x₀= -10 and y₀= -5, the view of the line is Ax+By+C=0, where A=5; B=1; C=3.

2. use the rule/formula:

`d=| (Ax_0+By_0+C)/(√(A^2+B^2))`

3. if to substitute A=5; B=1; C=3; x₀= -10 and y₀= -5 into the formula, then:

`d=| (-5*10-5*1+3)/(√(5^2+1) ) | = (52)/(√(26))=2√(26)`