Each time x increases by 2 (eg: from x = -3 to x = -1), the value of y increases by 7 (eg: y = 9.5 to y = 16.5)
Change in y = 7
change in x = 2
Slope = (change in y)/(change in x) = 7/2 = 3.5
This all means that we have a linear equation
An=a1+d(n-1)
a1=first term
d=common difference
n=which term
common difference is 5 first term is 2
an=5+2(n-1)
19th term is n=19
a19=5+2(19-1)
a19=5+2(18)
a19=5+36
a19=41
19th term is 41
A) get rid of the fraction by finding the common denominator, 4. multiplying by 4 on both sides, I usually have it turned into a fraction, 4/1. The 2x=3/4, is now 8x=12/4 will be set as 8x=3. Divide 8, x=3/8.
B) The common denominator is 15. Multiply on both sides, -2/5 times 15/1 is -30/5 which becomes -6. And m/3 times 15/1 is 15m/3, 5m. divide the 5 and your answer is m=-5/6
Answer:
In a 3D space(specifically a plane), there are lines that never intersect but aren't called parallel. So you should change it to, "Parallel lines are two lines wherein each point is equidistant from the opposing line and they never meet"
Step-by-step explanation:
(see answer)
Hope this helped! :)