Question

Use the method described above to find the equation of the line through the given points. (2,3) and (-1,0).

Answer 1

y = x + 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) )`

let (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (- 1, 0 )

m =
`(0-3)/(-1-2)` =
`(-3)/(-3)` = 1 , then

y = x + c ← is the partial equation

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

using (2, 3 )

3 = 2 + c ( subtract 2 from both sides )

1 = c

y = x + 1 ← equation of line