Answer:
y = - [tex]\frac{3}{2}[/tex] x
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 ) = (0, 0) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line
m = [tex]\frac{-3=0}{2-0}[/tex] = - [tex]\frac{3}{2}[/tex]
Since the line crosses the y- axis at (0, 0 ) ⇒ b = 0
y = - [tex]\frac{3}{2}[/tex] x ← equation of line
