The opposite of -42 is +42.
Answer:
y = -1/2x - 3 1/2 exact fractions
y = -0.5x - 3.5 exact decimals
Step-by-step explanation:
From the two points indicated on the graph
rise goes from -4 to -5 = -1
run goes from 1 to 3 = 2
m = slope = rise/run = -1/2
slope intercept form is
y = mx+b
to find "b" use either point
using (1, -4)
-4 = (-1/2)(1) + b
-4 = -1/2 + b
Add 1/2 to both sides
-3 1/2 = b
The equation is
y = -1/2x - 3 1/2 exact fractions
y = -0.5x - 3.5 exact decimals
Answer:

Step-by-step explanation:
Given

1. 5 units down translation
2. Reflection in the x-axis
Required
Determine the resulting function g
1. 5 units down translation
This is defined by the rule:
A down translation is:

Where b is the number of units.
So, we have:


2. Reflection in the x-axis
For a function f(x),
When reflected over the x-axis, it becomes -f(x)
So:




I believe it is 15 if the model is drawn to scale, this is because x and the other ray of 15 are both connected to the vertex P and extend to the edges