Developing an Understanding of Slope

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

6 0

Answer:

slope is the gradient of a line. equation of a line and slope intercept form is y = mx + b where m equals the slope of the line and b is is the point on the y-axis that the line crosses. think of slope as the gradient of your stairs at home where The height (rise) of the stair is the y-axis and the length (run) of the stair is along the x-axis. let's say the rise of the stair is 6 in and the run of the stair is 9 in. The slope would then be the rise over the run or in our case 6 in over 9 in simplified that would be ⅔. let's imagine that our slope crosses the y-axis at 6 and our equation would be y = ⅔x + 6

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Use expressions for odd integers to confirm the conjecture that the product for two odd integers is an odd integer.

Mandarinka [93]

k, n - integers

2k+1 - an odd integer

2n+1 - another odd integer

The product of them:

(2k + 1)(2n + 1) =

= 4kn + 2k + 2n + 1 =

= 2(2kn + k + n) + 1

The product of integers (2kn) is integer

and the sum of them (2kn+k+n) also is integer