To graph the equation of a line, all you need are the coordinates of two points on the line. It is often convenient to use (x, y) values such that x or y is zero.
3) For the first equation, when x=0, you have -3y = 2, so y = -2/3. That means (0, -2/3) is one point on the line. When y=0, you have x = 2, so (2, 0) is another point on the line. Draw the graph by plotting these points and draing a straight line through them.
For the second equation, when x=0, you have 9y = -6, so y = -6/9 = -2/3. That means (0, -2/3) is also a point on the second line. When y=0, you have -3x = -6, so x=2 and (2, 0) is also a point on the second line.
The second line is identical to the first line, so it has an infinite number of points in common with it. The system of equations has an infinite number of solutions.*
4) Repeat the exercise as for problem 3 to find that the first line goes through points (5/2, 0) and (0, -5). The second line goes through points (-1/2, 0) and (0, 1). These lines are parallel, so never intersect. The system of equations has zero solutions.**
_____ * We say these equations are "dependent." If you multiply the first equation by -3, you get the second equation.
Using the compass tool to create three more circles, with the same radii as the first is not a step used when constructing an inscribed equilateral triangle using technology. The correct answer between all the choices given is the second choice or letter B. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor
