Respuesta :

calculista

we know that

If line b is perpendicular to line a, and line c is perpendicular to line a,

then

line b and line c are parallel

and two lines parallel have the same slope

so

Find the slope of the line b

Let

[tex]A(-3,-2)\\B(2,3)[/tex]

The formula to calculate the slope between two points is equal to

[tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]

[tex](x1,y1)=(-3,-2)\\(x2,y2)=(2,3)[/tex]

substitute

[tex]m=\frac{(3+2)}{(2+3)}[/tex]

[tex]m=\frac{(5)}{(5)}[/tex]

[tex]m=1[/tex]

therefore

the answer is

the slope of the line c is

[tex]mc=1[/tex]

If two lines are perpendicular, then the product of the slope is -1.

Thus, the slope of line c is m which is the same as line b.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

Line b is perpendicular to line a, and line c is perpendicular to line a.

To find

The slope of line c.

We know that the slope theorem

If two lines are perpendicular, then the product of the slope is -1.

Let the slope of line b be m, then the slope of line a will be .

[tex]\rm m_am_b = -1[/tex]

Then

[tex]\rm m_a = -1/m_b[/tex]

Then the slope of line c will be.

[tex]\rm m_am_c = -1[/tex]

Then

[tex]\rm m_c = m_b[/tex]

Thus, the slope of line c is m which is the same as line b.

More about the linear system link is given below.

https://brainly.com/question/20379472

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