Question

Use the points (1, -3) and (5, 9) for the following problems.

a. determine the slope between the two points above using the slope formula. show all work. answer: the slope has to be (-1,-6), and (-5, 18)
b. use the slope from part (
a. and one point from above to write the equation in point-slope form. answer:
c. transform the equation in part (
b. to slope intercept form.

Answer 1

Slope between two points is:

P1 = (1, -3)
P2 = (5,9)


`(Δy)/(Δx)` =
`(9 + 3)/(5 - 1) = 12/4 = 3`


`(Δy)/(Δx)` =
`(18 + 6)/(-5 + 1) = 24/-4 = -6`

the slope has to be (-1,-6), and (-5, 18) <<< What ??


y + 3 / x - 3 = 3 (Point slope form)

y + 3 = 3x - 9

y = 3x - 12 ( Slope intercept form)

y = mx + b << slope intercept form