Question

Graph the two lines 2x + 3y = 18 , 3x -4y > 16.
Give the Domain and Range, Slope, and Y-intercept for each line.
Graph each equation above on the graph below and show all work.
Give the Domain and Range, Slope, and Y-intercept for each line.
Explain in detail how you got each answer.

Answer 1

The domain and range for each line is all real numbers. This is because all numbers are possible to input into x and all y values exist. 

The slope of the first line is -2/3 and the y intercept is 6. You can reach this conclusion by solving for y (putting it in slope intercept form). 

The slope of the second one is 3/4. and the y intercept is all real numbers greater than -4. This is true because it is an inequality and you can find these numbers by solving for y.