Answer:
y = 2x - 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 =
with (x₁, y₁ ) = (6, 5 ) and (x₂, y₂ ) = (4, 1 )
m =
=
= 2 , then
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (4, 1 )
1 = 8 + c → c = 1 - 8 = - 7
y = 2x - 7 ← equation of line