Answer:
y = 3x - 5
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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 4 ) and (x₂, y₂ ) = (2, 1 )
m = [tex]\frac{1-4}{2-3}[/tex] = [tex]\frac{-3}{-1}[/tex] = 3 , then
y = 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 1 ) , then
1 = 6 + c ⇒ c = 1 - 6 = - 5
y = 3x - 5 ← equation of line
