Answer:
y = - 2x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (4, - 3) ← 2 points on the line
m = [tex]\frac{-3-1}{4-2}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2 , thus
y = - 2x + b ← is the partial equation
To find b substitute either of the 2 points into the partial equation
Using (2, 1 ) , then
1 = - 4 + b ⇒ b = 1 + 4 = 5
y = - 2x + 5 ← equation of line
