Answer:
y = - 4x + 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 )
Find the equation of the line shown in graph
calculate slope m , using the slope formula
• m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
let (x₁, y₁ ) = (0, 8) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
substitute these values into the formula for m
m = [tex]\frac{0-8}{2-0}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4
The line crosses the y- axis at (0, 8 ) , then c = 8
y = - 4x + 8 ←equation of line on graph
• Parallel lines have equal slopes
The only equation with a slope of - 4 on the list is
y = - 4x + 3 ← equation of parallel line