Which linear inequality is represented by the graph?

Mathematics

2 answers:

Nutka1998 [239]3 years ago

6 0

Answer:

c,y>2/3x-1/5

Step-by-step explanation:

Tema [17]3 years ago

3 0

Answer:

$y\leq \frac{2}{3}x+\frac{1}{5}$

Step-by-step explanation:

step 1

Find the equation of the solid line

Find the slope

we have

(0,0.2) and (3,2.2)

$m=(2.2-0.2)/(3-0)=\frac{2}{3}$

The y intercept b is equal to

$b=0.2=\frac{2}{10}=\frac{1}{5}$

the equation of the solid line in slope intercept form is equal to

$y=\frac{2}{3}x+\frac{1}{5}$

step 2

Find the equation of the inequality

we know that

The solution of the inequality is the shaded area below the solid line

therefore

$y\leq \frac{2}{3}x+\frac{1}{5}$

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Which of these points are on a line that has a slope of -3?

Ira Lisetskai [31]

Simple....

using the formula $\frac{ y_{1}- y_{2} }{ x_{1}- x_{2} }$ to find slope....

1.) (9,2)(4,3)

$\frac{2-3}{9-4}= -\frac{1}{5}$ (No)

2.) (9,2)(3,4)

$\frac{2-4}{9-3} = -\frac{2}{6} =- \frac{1}{3}$ (No)

3.) (2,9)(3,4)

$\frac{9-4}{2-3} = \frac{5}{-1} =-5$ (No)

4.) (2,9)(4,3)

$\frac{9-3}{2-4} = \frac{6}{-2} =-3$ (YES!)

Thus, your answer.

3 0

2 years ago

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Anna [14]

Answer:

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