Options on this certain question?
Answer:
8.5 units
Step-by-step explanation:
step 1
<em>Find the slope of the perpendicular line to the given line</em>
---> given line
The slope is
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
we have
substitute
so
step 2
Find the equation of the perpendicular line to the given line
The equation in point slope form is
we have
substitute
--> equation in point slope form
---> equation in slope intercept form
step 3
Find the intersection point between the given line and the perpendicular line to the given line
we have the system of equations
Solve the system by graphing
The intersection point is (-3,-9)
see the attached figure
step 4
we know that
The distance between the point A and the point (-3,-9) is the same that the distance between point A and the line y=x-6
the formula to calculate the distance between two points is equal to
substitute the values
simplify
Answer:5
Step-by-step explanation:
2:3 ration when you simplify it out.