Question

If line b is perpendicular to line a, and line c is perpendicular to line a, what is the slope of line c?

Answer 1

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

$A(-3,-2)\\B(2,3)$

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

$m=\frac{(y2-y1)}{(x2-x1)}$

$(x1,y1)=(-3,-2)\\(x2,y2)=(2,3)$

substitute

$m=\frac{(3+2)}{(2+3)}$

$m=\frac{(5)}{(5)}$

$m=1$

therefore

the answer is

the slope of the line c is

$mc=1$

Answer 2

Answer:

the answer is 1