Determine the equation of the line in slope-intercept form given the ordered pairs (4, 0) and (5, -1). First, I will use the given points to determine the slope of line.

The slope of the line is:

Second, I can use the slope (m) and one of the points (x, y) to plug values into the equation y=mx+b.

When I plug in those values, I get the y-intercept (b) to be:

Lastly, I can use the slope (m) and y-intercept (b) to write the equation of the line in slope-intercept form.

This is the equation of the line in slope-intercept form:

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

2 2/3 hours duhh silly

step-by-step explanation:

table a is wierd

step-by-step explanation:

6*f

(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