Answer: The third answer Y = 2X + 3
Answer:
The constant of proportionality is 6
Step-by-step explanation:
Recall the equation for direct variation is
where
varies directly with
and
is the constant of proportionality. If we take any listed coordinate point, we can determine the value of
. I will use (20,120) as an example:

Therefore, the constant of proportionality is 6
Lines parallel to each others only occur when two slopes of equations are same. The definition of parallel lines is:

We are given the equation of a line which is x = -2. For x = a, the equation forms a verical line and has an undefined slope. These below are basic that you may need to learn when learning about the line graph:
- y = a —> horizontal line; slope is 0.
- x = a —> vertical line; slope is undefined.
- For y = a, any a-values would have same x-values. For example, if we are given y = 2 then any domains or x-values can have the range of 2.
- For x = a, any a-values would have same y-values or range.
Back to the question. We want to find the equation of a line that is <u>p</u><u>a</u><u>r</u><u>a</u><u>l</u><u>l</u><u>e</u><u>l</u> to the line x = -2 and <u>p</u><u>a</u><u>s</u><u>s</u><u>e</u><u>s</u><u> </u><u>t</u><u>h</u><u>r</u><u>o</u><u>u</u><u>g</u><u>h</u><u> </u><u>(</u><u>5</u><u>,</u><u>4</u><u>)</u> point. Recall the definition of parallel line that both slopes of equations must equal. Since x = a for any a-values would give an undefined slope. That means our parallel would be x = b.
Because the line passes through (5,4) - for any a-values from x = a would give out the set of all real numbers for range. Therefore the equation of a line is x = 5.
Answer
- The equation of a line that is parallel to x = -2 and passes through (5,4) is x = 5.
I hope this helps! If you have any doubts or questions, don't hestitate to ask in comment! Good luck on your assignment and have a great day!
Answer:
D
Step-by-step explanation:
10*20=200
200 + 1020= 1220
Works for the first one
20*20=400
400+ 1020=1420
Works for the second one
30*20=600
600+1020=1620
Works for the third one, and all the others one so forth.
You take the number on the left (10, 20, 30, 40, 50, 60, 70) and times it by 20, replacing the x in the equation with the number on the left side of the table. Then you add the number from said equation to result of the multiplication from the first step.
56 eggs is the final answer
if 4×4= 16 cups, then 14×4= 56 eggs