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Sagot :

Answer:

C

Step-by-step explanation:

so we are given our equation in point-slope form; y-y1=m(x-x1). (x1,y1) is a point, where m is the slope.

Perpendicular lines have slopes that are negative and reciprocal; when you multiply them, they are equal to -1.

The slope of our line is 2.

To find the slope of the new line, use this equation:

2m=-1

divide by 2

m=-1/2

so the slope of our new line is -1/2

as said above, slope-point form is y-y1=m(x-x1)

we are given the point (-3,-5)

substitute our info into the equation:

y--5=-1/2(x--3)

or:

y+5= -1/2(x+3)

the answer is C

Hope this helps!