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finlep [7]
3 years ago
13

A classmate is 22 years younger than your instructor. Write an equation that will determine your classmate’s age (y) if given yo

ur instructor’s age (x). Use this equation to determine your classmate’s age.
Mathematics
1 answer:
Dima020 [189]3 years ago
3 0

Hey there, we are given quite a lot of information in this problem. First of all, let's make an equation.


y = x - 22

where y = student's age

where x = instructor's age

this equation is correct because x(instructor) - 22 will yield the student's age (y).


If the instructor were 44 years old, the student would be 22 years old.

y = 44 - 22

y = 22


If the instructor were 66 years old, the student would be 44 years old.

y = 66 - 22

y = 44

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Let

P=(P_x,P_y),\quad Q=(Q_x,Q_y)

If M is the midpoint, the x and y coordinates of M are the average of the x and y coordinates of P and Q:

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We can solve this expression for the coordinates of Q:

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M_y = \dfrac{P_y+Q_y}{2} \implies Q_y = 2M_y-P_y

Plug in the values for the coordinates of M and P to get

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Lina20 [59]

Answer:

\textbf{The slope of the parallel line is given by $ 2 $}\\

Step-by-step explanation:

\textup{The slope of any two parallel lines are equal and they only differ in their $y- intercepts$. }\\\textup{Given $y = 2x + 4 $}\\\textup{This is  comparable to $y = mx + c$, where $m$ is the slope of that line.}\\\textup{Therefore, the slope of the given line and any line parallel to it is $ 2$.}

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