Answer:
y = - [tex]\frac{3}{5}[/tex] x + 4
Step-by-step explanation:
the student used the y- coordinates of the points in the wrong order.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (5, 1) ← 2 points on the line
m = [tex]\frac{1-4}{5-0}[/tex] = [tex]\frac{-3}{5}[/tex] = - [tex]\frac{3}{5}[/tex]
the line crosses the y- axis at (0, 4 ) ⇒ c = 4
y = - [tex]\frac{3}{5}[/tex] x + 4 ← equation of line
