Actually Welcome to the concept of Parallel lines.
We must first understand that, Parallel Lines always have a same Slope, hence the 'm' value in y=mx+c equation will same, here it is '1/2' in the above equation,
so the points here are (-6,-17)
==>
(y-(-17)) = m(x-(-6))
==>
here m = 1/2 ,hence
y+17 = 1/2(x+6)
==> y+17 = 1/2(x) + 3
==> y = 1/2(x) + 3 - 17
==> y = 1/2(x) - 14
hence the Option 4.) is the correct answer!!
2/5 ...........................
Answer:
(0,1)(1,4)
Step-by-step explanation:
Put in any value of x to find y, then you have a coordinate, then plot it
lets say i pick 0 for x
y = 3(0) + 1
y = 1
(0,1)
lets say i also pick 1 for x
y = 3(1)+1
y = 4
You need atleast two points to plot a line, these are two points.
Each new term of this arith. seq. is obtained by adding 4 to the previous term. Hence, 15 = 11+4; 19=15+4, and so on. Add 4 to 19 to get the next term. Keep going until you have 4 new terms for the arith. seq. 11, 15, 19, .....
