Answer:
y = 12x , y = 4x
Step-by-step explanation:
The equation of a line passing through the origin (0, 0 ) is
y = mx ( m is the slope )
calculate the slope m, using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
(3)
le (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 72) ← 2 points on the line
substitute these values into the formula for m
m = [tex]\frac{72-0}{6-0}[/tex] = [tex]\frac{72}{6}[/tex] = 12 , then
y = 12x ← equation of line
(4)
let (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (7, 28) ← 2 points on the line
substitute these values into the formula for m
m = [tex]\frac{28-0}{7-0}[/tex] = [tex]\frac{28}{7}[/tex] = 4 , then
y = 4x ← equation of line
