Answer:
[tex]2\sqrt{26} units[/tex]
Step-by-step 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:
[tex]d=| \frac{Ax_0+By_0+C}{\sqrt{A^2+B^2}}[/tex]
3. if to substitute A=5; B=1; C=3; x₀= -10 and y₀= -5 into the formula, then:
[tex]d=| \frac{-5*10-5*1+3}{\sqrt{5^2+1} } | = \frac{52}{\sqrt{26}}=2\sqrt{26}[/tex]
