Aline passes through the point (4,1) and has a slope of -3/2 . write an equation in slope-intercept form for this line.

y=mx+b is the equation of a line;

m=slope , b= y-intercept

m= -3/2 ; so we have : y= (-3/2)x+b

We are give a set of points which it passes through, we can simply plug them in:

1 = (-3/2)(4)+b (4 is the x and 1 is the y)

We get 1 = -6 +b 7=b

our final equation is : y=(-3/2)x+7

no not all of them.

step-by-step explanation:

some of them have a square base.

(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