A line has a slope of 7 and passes through the point (-2,-1) What is its equation in point-slope form?

y + 1 = 7(x + 2).

Step-by-step explanation:

Point slope form:

y - y1 =m(x - x1).

Here m = 7 and (x1,  y1) = (-2,  -1)

So the answer is;

y - (-1) = 7(x - (-2))

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week