Respuesta :
Answer:
[tex]y - 5 = - 1(x - 2)[/tex]
Step-by-step explanation:
First, we find the equation of the line that goes through;
(1,-1) and (4,2).
Using the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]
We substitute to get:
[tex]m = \frac{2 - - 1}{4 - 1} [/tex]
[tex]m = \frac{3}{3} = 1[/tex]
The slope of the line that is perpendicular to this line is -1.
If this line passes through:
(2,5)
When its equation is given by:
[tex]y=m(x-x_1)+y_1[/tex]
[tex]y= - 1(x-2)+5[/tex]
Or the point slope form is
[tex]y - 5 = - 1(x - 2)[/tex]
Answer:
C. y − 5 = −(x − 2) on Ed g e n u i t y
Step-by-step explanation: