contestada

Choose the linear inequality that describes the graph. The gray area represents the shaded region.


y > –5x – 3

y > –5x + 3

y > –3x + 5

y < –5x + 3

Choose the linear inequality that describes the graph The gray area represents the shaded region y gt 5x 3 y gt 5x 3 y gt 3x 5 y lt 5x 3 class=

Respuesta :

calculista

Answer:

y > –5x + 3

Step-by-step explanation:

we know that

1) The solution of the inequality is the shaded area above the dashed line

so

The linear inequality could be

y > –5x – 3

y > –5x + 3

y > –3x + 5

2) The slope of the dashed line is negative ----> the three options have slope negative

3) The y-intercept of the dashed line is (0,3)

therefore

The linear inequality is

y > –5x + 3

Answer:

[tex]y>-5x+3[/tex]

Step-by-step explanation:

To find the linear inequality , Let pick two points from the graph

Lets pick (0,3) and (1,-2)

Lets find out slope using the points

[tex]slope =\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]slope =\frac{-2-3}{1-0}=-5[/tex]

Slope m= -5

y intercept b= 3

Equation of the line is y=mx+b

[tex]y=-5x+3[/tex]

Now we look at the shaded part. we use test point (0,0)

(0,0) is not in the shaded region

[tex]y=-5x+3[/tex]

[tex]0=-5(0)+3[/tex]

0 >3 is false

[tex]y>-5x+3[/tex]

Otras preguntas