Respuesta :
Answer:
You can find the perpendicular bisector of MA and then plug in the point.
Step-by-step explanation:
To find the perpendicular bisector of MA, you have to go through a 4 step process.
1. Find the midpoint of MA
2. Find the slope of MA
3. Find the perpendicular slope to the slope of MA.
4. Substitute in your midpoint into the equation and solve for the y-intercept.
Plug in your point into the equation and see if it works out.
You'll have to do the actual work yourself though!
The point which satisfy the equation of line having the slope -2/3 and point (-4,1), lies on the perpendicular bisector of MA.
What is a perpendicular bisector on a line?
The perpendicular bisector on a line segment is the line which divides the line in two equal parts and intersect the line at 90 degrees.
The line segment MA has the end points as M(−2, 4) and A(−6, −2). The midpoint of this line segment is,
[tex]p=(\dfrac{-2+(-6)}{2},\dfrac{4+(-2)}{2})\\p=(\dfrac{-8}{2},\dfrac{2}{2})\\\\p=(-4,1)[/tex]
The slope of this line segment MA is,
[tex]m=\dfrac{-2-4}{-6-(-2)}\\m=\dfrac{-6}{-4}\\m=\dfrac{3}{2}[/tex]
The slope of MA is 3/2. Thus, the slope of a line segment which is perpendicular to this is -2/3.
Thus, the point which satisfy the equation of line having the slope -2/3 and point (-4,1), lies on the perpendicular bisector of MA.
Learn more about the perpendicular bisector on a line here:
https://brainly.com/question/11006922
