Question

Can some one help me please and explain it

Answer 1

Answer:

c= -2

Step-by-step explanation:

Perpendicular lines imply that the product of the gradient of the two lines is -1.

So let's find the gradient of each lines.

$gradient = \frac{y1 - y2}{x1 - x2}$

Gradient of 1st line

= 1-(-4)/ -3-2

= 5/-5

= -1

(gradient of 1st line)(gradient if 2nd line)= -1

(-1)(gradient of 2nd line)= -1

gradient of 2nd line= -1 ÷ (-1) =1

Now make use of the gradient formula to find an expression of the gradient of the second line.

Gradient of 2nd line= c-1/ -2-1

subst. gradient of second line and simplify:

1= c-1/-3

c-1= -3 (multiply by -3 on both sides)

c= -3+1 (add 1 on both sides)

c= -2