Graph the solution to the following linear inequality in the coordinate plane 5x-y>-3

Here's one way to do it

Step-by-step explanation:

1. Solve the inequality for y

5x - y > -3

      -y > -5x  -  3

       y < 5x + 3

2. Plot a few points for the "y =" line

I chose

You should get a graph like Fig 1.

3. Draw a straight line through the points

Make it a dashed line because the inequality is "<",  to show that points on the line do not satisfy the inequality.

See Fig. 2.

4. Test a point to see if it satisfies the inequality

I like to use the origin,(0,0), for easy calculating.

y < 5x + 3

0 < 0 + 3

0 < 3. TRUE.

The condition is TRUE.

Shade the side of the line that contains the point (the bottom side).

And you're done (See Fig. 3).

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step-by-step explanation:

c.

step-by-step explanation:

substitution for (0,1)

y=x^2+4x+1

1=0^2+4(x)0+1

1=0+4(x)0+1

1=4(x)0+1

1=0+1

1=1

substitution for (-3,-2)

y=x+1

-2=-3+1

-2=-2