Question

Question Find the slope intercept form for the line satistying the following conditions Passing through (7,-13) and (13,-25)

Answer 1

y = - 2x + 1

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 ) = (7, - 13 ) and (x₂, y₂ ) = (13, - 25 )

m =
`(-25-(-13))/(13-7)` =
`(-25+13)/(6)` =
`(-12)/(6)` = - 2 , then

y = - 2x + c ← is the partial equation

to find c substitute either of the 2 given points into the partial equation.

using (7, - 13 )

- 13 = - 2(7) + c = - 14 + c ( add 14 to both sides )

1 = c

y = - 2x + 1 ← equation of line