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Select the correct inequality for the graph below: A solid line passing through points (1, 2) and (2, 5) has shading below. y < 3x − 1 y ≤ 3x − 1 y ≥ 3x − 1 y > 3x − 1

Respuesta :

Nonportrit

Here is your answer:

Solving the equation:

  • [tex] (5-2)\div(2-1)= 3 [/tex]
  • [tex] \frac{y - y1}{(x - x1) } [/tex]
  • [tex] y-5=3(x-2) [/tex]
  • [tex] y= 3x- 6+ 5 [/tex]
  • " [tex] y= 3x-1 [/tex] " or option B.

Hope this helps!

calculista

Step 1

Find the equation of the line that passes through points [tex](1, 2)[/tex] and [tex](2, 5)[/tex]

Find the slope of the line

The formula to calculate the slope is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute the values

[tex]m=\frac{5-2}{2-1}[/tex]

[tex]m=\frac{3}{1}[/tex]

[tex]m=3[/tex]

Find the equation of the line

The equation of the line into slope-point form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=3[/tex]

[tex](1, 2)[/tex]

substitutes

[tex]y-2=3(x-1)[/tex]

[tex]y=3x-3+2[/tex]

[tex]y=3x-1[/tex]

Step 2

Find the equation of the inequality

we know that

The solution is the shaded area below the solid line

therefore

the inequality is

[tex]y\leq 3x-1[/tex]

the answer is

[tex]y\leq 3x-1[/tex]

see the attached figure to better understand the problem


Ver imagen calculista

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