MATH SOLVE

2 months ago

Q:
# you are graphing y<2x +1 what type of line do you use and where do you shade ?

Accepted Solution

A:

Hello!The graph is attached.Why?To solve the problem, we need to look for the characteristics of the line.We can see that:- The line has a positive slope since the coefficient of the linear term is a positive number (2).- Since the line has a positive slope, the line is increasing.From the line we can calculate the axis intercepts:For the x-axis intercept, making "y" equal to 0, we have:[tex]y=2x+1\\\\0=2x+1\\\\x=-\frac{1}{2}=-0.5[/tex]We have that the x-axis interception point is located at the point (-0.5,0)For the y-axis intercept, making "x" equal to 0, we have:[tex]y=2x+1\\\\y=2*0+1\\\\y=1[/tex]We have that the y-axis interception point is located at the point (0,1)Also, we have a "less" symbol for the inequality, meaning that the shade that represents the solution of the inequality is located under the pointed line.The graph of the inequality is attached.Have a nice day!