
now, a line perpendicular to that one, will have a "negative reciprocal" slope, thus
Answer:
11
Step-by-step explanation:
g(x) = 2x + 7
Put x as 2 and evaluate.
g(2) = 2(2) + 7
Multiply.
g(2) = 4 + 7
Add the terms.
g(2) = 11
The vertical shift of the function
is 2 units up
The absolute function is given as:

An absolute function is represented as:

Where k represents the vertical shift.
By comparison, the value of k is:

This means that the vertical shift is 2 units
Hence, the vertical shift of the function
is 2 units up
Read more about absolute value function at:
brainly.com/question/25971887
Slope-intercept form of a line:
y=mx+b
m=slope
b=y-intercpet
Data:
m=5
b=8
the equation of the line will be:
y=5x+8
Answer: y=5x+8
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences