Mathematics, 06.12.2019 04:31 tackmancalynn

Write a system of linear equations represent by the graph

inequality 1:

inequality 2:

Write a system of linear equations represent by the graphinequality 1: inequ

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Answer from: therealpr1metime45

From graph,

inequality 1: y > $\frac{2}{3}$ x+(-2)

inequality 2: y > (-4)x+2

Step-by-step explanation:

The graph shows two lines on the X-Y plane.

Step 1: Find the equation of a line.

From figure, One line is passing through (3,0) and (0,-2)

Slope of line is given by m= $\frac{Y2-Y1}{X2-X1}$

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

m= $\frac{2}{3}$

Y-intercept isc=(-2)

The equation of line is given by y=mx+c

Therefore, y= $\frac{2}{3}$ x+(-2)

From figure, Another line is passing through (0.5,0) and (0,2)

Slope of line is given by m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{2-0}{0-0.5}$

m= $\frac{2}{-0.5}$

m=(-4)

Y-intercept isc=(2)

The equation of line is given by y=mx+c

Therefore, y=(-4)x+2

Step 2: Test of origin and finding inequality

For y= $\frac{2}{3}$ x+(-2)

Let suppose, y > $\frac{2}{3}$ x+(-2)

This line is shaded toward the origin then, inequality must satisfy the origin

Test for origin says,

0 > $\frac{2}{3}$ (0)+(-2)

0 > (-2)

TRUE.

y > $\frac{2}{3}$ x+(-2) is required inequality

For y=(-4)x+2

Let suppose, y > (-4)x+2

This line is shaded away from the origin then, inequality must not satisfy the origin

Test for origin says,

0 > $\frac{2}{3}$ (0)+(-2)

0 > (+2)

FALSE, so that y > (-4)x+2 does not satisfy the origin

y > (-4)x+2 is required inequality

Thus,

inequality 1: y > $\frac{2}{3}$ x+(-2)

inequality 2: y > (-4)x+2

Write a system of linear equations represent by the graphinequality 1: inequality 2:

Answer from: Quest

Yes the slope to this is -5

Answer from: Quest

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at ( h , k ) .

center: ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center: ( 3 , 1 ).

radius: 4

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Write a system of linear equations represent by the graph

inequality 1:

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