Question

Here's the question
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Answer 1

y = 3/-2x + 3

Explanation:

y is the y value

3/-2 is the slope

x is the x value

3 is the y intercept

Answer 2

y = -
`(3)/(2)` x + 3

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 ) = (2, 0 ) and (x₂, y₂ ) = (0, 3 )

m =
`(3-0)/(0-2)` =
`(3)/(-2)` = -
`(3)/(2)`

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = -
`(3)/(2)` x + 3 ← equation of line