Question

Y’all what do i write

Answer 1

Answer:

y = - 0.5x + 4

Step-by-step 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 = $\frac{2-4}{4-0}$ = $\frac{-2}{4}$ = - 0.5

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

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

Answer 2

Answer:

y = -0.5 x + 4.

Step-by-step 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

$\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$.

For this line, the two points are:

• $(4,2)$, and
• $(0, 4)$.

As a result,

$\displaystyle m = \frac{2 - 4}{4 - 0} = - \frac{1}{2}$.

$b$ 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

$\displaystyle y = -\frac{1}{2}x + 4$.