Question

Which inequality describes the graph?

Answer 1

Answer:

x + 2y < 6

Step-by-step explanation:

The equation of a line passing through two points (x₁, y₁) and (x₂, y₂) can be found using the point-slope form:

$\frac{y-y_{1} }{x-x_{1}}$ = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

given points (0, 3) and (6, 0)

$\frac{y-3 }{x-0}}$ =  $\frac{0 - 3 }{6 - 0 }$

$\frac{y-3 }{x-0}}$ = $\frac{-3}{6}$

$\frac{y-3 }{x}}$ = - $\frac{1}{2}$

y − 3 = − $\frac{1}{2}$  ​x

y = − $\frac{1}{2}$x + 3

x + 2y < 6

2y < -x + 6

y < − $\frac{1}{2}$x + 3