Answer:
y = - 3x + 7
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 the slope m, using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
let (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (1, 4) ← 2 points on the line
substitute these values into the formula for m
m = [tex]\frac{4-7}{1-0}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3
the line crosses the y- axis at (0, 7 ), then c = 7
y = - 3x + 7 ← equation of line
