Which of the following is the equation of a line parallel to the line y = -x + 1, passing through the point (4,1)?

○ A. x + y = 5

Step-by-step explanation:

Parallel lines have SIMILAR RATE OF CHANGES [SLOPES], so -1 remains the same:

1 = -[4] + b

↑

-4

5 = b

You have the equation, but all answer choices are in Standard Form, so we need to convert from Slope-Intercept to Standard:

y = -x + 5 >> Parallel Equation

+x + x

x + y = 5 >> Standard Equation

I am joyous to assist you anytime.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

1. minimum

2. 6400

3. eight

hope this !