Write a system of linear equations for the graph below

y = -3x + 3

Step-by-step explanation:

Slope of a line passing through two points () and is determined by the formula,

Slope =

If these points are (0, 3) and (3, -6),

Slope of the line passing through these lines = = (-3)

Equation of the line which passes through (0, 3) and slope = (-3),

y - y' = m(x - x')

y - 3 = (-3)(x- 0)

y - 3 = -3x

y = -3x + 3

Now slope of another line that passes through (3, -6) and (0, -7),

m' =

m' =

Equation of the line that passes through (0, -7) and slope =

y - (-7) =

y + 7 =

y =

Therefore, system of linear equations are,

y = -3x + 3

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