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PLEASE PLEASE ANSWER THIS QUESTION IN THE NEXT 2MINUTES RIGHT NOW!!!!!! On a coordinate plane, a line goes through (1, negative 1) and (4, 2). A point is at (2, 5). What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)? y + 5 = x + 2 y − 2 = x − 5 y − 5 = −(x − 2) y + 2 = −(x +

2 Answers

1 vote

Answer:

C. y − 5 = −(x − 2) on Ed g e n u i t y

Explanation:

User Ivotron
by
6.9k points
1 vote

Answer:


y - 5 = - 1(x - 2)

Explanation:

First, we find the equation of the line that goes through;

(1,-1) and (4,2).

Using the formula:


m = (y_2-y_1)/(x_2-x_1)

We substitute to get:


m = (2 - - 1)/(4 - 1)


m = (3)/(3) = 1

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:


y=m(x-x_1)+y_1


y= - 1(x-2)+5

Or the point slope form is


y - 5 = - 1(x - 2)

User Schrobe
by
6.6k points
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