Answer:
y = 3x - 8
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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (5, 7) and (x₂, y₂ ) = (3, 1)
m =
=
= 3, thus
y = 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 1), then
1 = 9 + c ⇒ c = 1 - 9 = - 8
y = 3x - 8 ← equation of line