Find the slope, vertical and horizontal intercept of (2,9) and (4,3)

Slope: -3

Vertical Intercept (y-intercept): 15

Horizontal Intercept (x-intercept): 5

Step-by-step explanation:

= = -3

then we put the slope into point slope form.

y-9=-3(x-2)

in order to find the x-intercept, we need to make the y value 0.

-9=-3(x-2) ⇒-9=-3x+6 then subtract 6 from both sides.

-15=-3x divide both sides by -3 to get 5, the x-intercept.

in order to find the y-intercept, we need to make the x value 0.

y-9=-3(-2) ⇒y-9=6 then add 9 to both sides.

y=15

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb