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Which equation represents a line parallel to the line shown on the graph?

Which Equation Represents A Line Parallel To The Line Shown On The Graph class=

Sagot :

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

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