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