Respuesta :

MrsStrong

Answer:

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

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes. The slope of the line

y - 4 = 2(x - 6) is 2. Its negative reciprocal slope is -1/2.

Using m = -1/2 and the point (-3,-5) in the point slope form.

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

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

kudzordzifrancis

Answer:

[tex]y+5=-\frac{1}{2}(x+3)[/tex]

Step-by-step explanation:

The given equation is

[tex]y-4=2(x-6)[/tex]

This equation is in the point-slope form, [tex]y-y_1=m(x-x_1)[/tex], where [tex]m=2[/tex] is the slope of this line.

The line that is perpendicular to this line has slope [tex]-\frac{1}{2}[/tex]

If this line that is perpendicular to the given line passes through (-3,-5), then it will have equation;

[tex]y--5=-\frac{1}{2}(x--3)[/tex]

[tex]y+5=-\frac{1}{2}(x+3)[/tex] in point-slope form

Otras preguntas