Question

Y’all what do i write

Answer 1

y = - 0.5x + 4

Explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

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

m =
`(2-4)/(4-0)` =
`(-2)/(4)` = - 0.5

Note the line crosses the y- axis at (0, 4) ⇒ c = 4

y = - 0.5x + 4 ← equation of boundary line

Answer 2

y = -0.5 x + 4.

Explanation:

Slope-intercept form of the equation of a line on a Cartesian Plane:

`y = mx + b`.

`m` is the slope of the line.

If two different points
`(x_1, y_1)` and
`(x_2, y_2)` on the line are given, the slope of the line will equal

`\displaystyle m = (y_2 - y_1)/(x_2 - x_1)`.

For this line, the two points are:

• 
  `(4,2)`, and
• 
  `(0, 4)`.

As a result,

`\displaystyle m = (2 - 4)/(4 - 0) = - (1)/(2)`.

`b` is the
`y`-coordinate (the second coordinate) of the point at the intersection of the line and the
`y`-axis (the vertical axis.) The
`x`-coordinate (the first coordinate) of that point shall equals
`0`. For this line, the coordinates of the intersection is
`(0, 4)`. As a result,
`b = 4`.

The slope-intercept form of the equation of this line will thus be

`\displaystyle y = -(1)/(2)x + 4`.