Answer:
y = 2x
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 ) = (1, 2) and (x₂, y₂ ) = (4, 8)
m = [tex]\frac{8-2}{4-1}[/tex] = [tex]\frac{6}{3}[/tex] = 2 , then
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 2 )
2 = 2 + c ⇒ c = 2 - 2 = 0
y = 2x ← equation of line
