Question

*PLEASE HELP* *ANY IRRELEVANT ANSWERS WILL BE REPORTED AS SPAM*

A line passes through the points (3,-6) and (5,-14).
A) Write an equation in point-slope format.
B) Write an equation in slope-intercept format.

Answer 1

point-slope equation: y + 6 = -4 ( x - 3 )

slope-intercept equation: y = -4x + 6

Explanation:

point-slope equation format:
`y-y_(1)=m\left(x-x_(1)\right)`

slope-intercept equation format:
`y=m x+b`

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coordinates: (3,-6) and (5,-14)

find slope using:
`(y2-y1)/(x2-x1)`

:
`(-14--6)/(5-3)`

:
`(-8)/(2)`

: -4

point-slope equation:

y - -6 = -4 ( x - 3 )

y + 6 = -4 ( x - 3 )

slope-intercept equation:

y + 6 = -4 ( x - 3 )

y = -4x + 12 - 6

y = -4x + 6