Answer:

Step-by-step explanation:

The gradient of a line is the coefficient of x when the equation of the line is written in the form of y=mx+c.
Thus, gradient of given line=
.
The product of the gradients of perpendicular lines is -1.
(Gradient of line)(-3/2)= -1
Gradient of line

Substitute m=
into y=mx+c:

To find the value of c, substitute a pair of coordinates.
When x= -6, y= 8,

Thus, the equation of the line is
.
Answer:
D. {4, 0, -3.5}
Step-by-step explanation:
domain (x) = {-3, 1, 4.5}
y= -x + 1
substituting domain/x-values into y= -x + 1
x= -3
y = -(-3) + 1
= 3+1
= 4
x= 1
y = -(1) + 1
= 0
x = 4.5
y = - (4.5) + 1
= -3.5
therefore, range ={4, 0, -3.5}