Answer:
y = - x + 5
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 the slope m, using the slope formula
• m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
let (x₁, y₁ ) = (0, 5 ) and (x₂, y₂ ) = (4, 1 )
substitute these values into the formula for m
m = [tex]\frac{1-5}{4-0}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1
The line crosses the y- axis at (0, 5 ) , then b = 5
y = - x + 5 ← equation of line
