Give the slope of each line. Also, state if the lines are parallel (yes or no). AB: y = - 3x + 4 and CD: y = - 3x -2 The slope of line AB: Slope of line CD: Are the lines parallel (yes or no):

Step-by-step explanation:

the slope is always the factor of x in the equation.

so, the slope of AB = -3, and the slope of CD = -3.

since these are equal, yes, the lines are parallel. parallel lines always have the same slope, and having the same slope means they are parallel.

they have different y axis intercepts (when x = 0), so they are not identical.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for