Question

Slope intercept form of (5,-12) and (-3,-4)

Answer 1

y = - x - 7

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (5, - 12 ) and (x₂, y₂ ) = (- 3, - 4 )

m =
`(-4-(-12))/(-3-5)` =
`(-4+12)/(-8)` =
`(8)/(-8)` = - 1 , then

y = - x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (5, - 12 ) , then

- 12 = - 5 + c ⇒ c = - 12 + 5 = - 7

y = - x - 7 ← equation of line

Answer 2

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