Question

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Answer 1

y = - 2x + 9

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 =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (4, 1) ← 2 points on the line

m =
`(1-9)/(4-0)` =
`(-8)/(4)` = - 2

The line crosses the y- axis at (0, 9 ) ⇒ c = 9

y = - 2x + 9 ← equation of line