Write the equation of the line in fully simplified slope-intercept form

y = - x + 6

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 m using the slope formula

m =

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0) ← 2 points on the line

m = = = - 1

The line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - x + 6 ← equation of line

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step-by-step explanation: