For the data set table 65, 75, 64, 20, 80, 125. what is the mean of this data set table?
1 answer:
You might be interested in
Let's start with " times a number". We will use
to represent the number.
" less than" is next.
Finally, "is ".
Put it all together to get an expression.
Now, let's solve for the unknown number.
Add on both sides of the equation.
Divide both sides of the equation by to isolate
.
Answer: y = 2x+22
========================================================
Explanation:
The equation y = 2x+5 is in the form y = mx+b
m = 2 = slope
b = 5 = y intercept
Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.
Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c
y = mx+c
12 = 2(-5)+c
12 = -10+c
12+10 = c
22 = c
c = 22
Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22
The equation of the parallel line is y = 2x+22
The graph is below.
