Answer:
y = - [tex]\frac{3}{4}[/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 slope m, using the slope formula
• m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
let (x₁, y₁ ) = (0, 3 ) and (x₂, y₂ ) = (4, 0 )
substitute these value into the formula for m
m = [tex]\frac{0-3}{4-0}[/tex] = [tex]\frac{-3}{4}[/tex] = - [tex]\frac{3}{4}[/tex]
the line crosses the y- axis at (0, 3 ) , then c = 3
y = - [tex]\frac{3}{4}[/tex] x + 3 ← equation of line
