The sum of two numbers is 54. their difference is 34. find the numbers.

this equation is in point-slope form.

where,

using this equation you can gather a point and the slope, which gives you enough information to draw a line. transform the equation to standard form to start.

the equation is now in standard form, we have a point, as well as the slope:

point: (0, -6)

slope: -2

plot (0,-6), then simply rise/run with the provided slope of -2, once you feel you have a comfortable amount of points - draw a line.

this is a geometric sequence with common ratio r

r = = = = 3

(a)

to obtain a term in the sequence multiply the previous term by 3

= 3 ← recursive rule

(b)

the n th term of a geometric sequence is

=

where is the first term and r the common ratio

= 6 × ← explicit rule