Answer:
y = x +
Step-by-step 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 ) = (- 2, 1) and (x₂, y₂ ) = (4, 6)
m = =
, thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 6 ), then
6 = + c ⇒ c = 6 -
=
=
y = x +
← equation of line