Answer:
y = [tex]\frac{1}{2}[/tex] x - 2
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 ) = (2, - 1) and (x₂, y₂ ) = (4, 0)
m = [tex]\frac{0+1}{4-2}[/tex] = [tex]\frac{1}{2}[/tex] , thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 0 ), then
0 = 2 + c ⇒ c = 0 - 2 = - 2
y = [tex]\frac{1}{2}[/tex] x - 2 ← equation of line
