The Cartesian plane consists of a horizontal axis (usually called the x-axis), and a vertical axis (usually the y-axis) which meet at right angles at a point called the Origin. The positive direction of the x-axis is to the right while that of the y-axis is up along the paper.
Every point in the Cartesian plane is assigned two coordinates: the x-coordinate (also called the abscissa) and the y-coordinate (the ordinate). These are often written in the form (x, y).
To plot the point P = (x,y), you start from the origin. Move x units along the x-axis. From that point you move y units along the y-axis. The end point is where P is to be plotted.
If the value of x or y is negative, you move in the negative direction of the axes.
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y = 0.5x + 1 x = -2, y = 0 x = -1, y = 0.5 x = 0, y = 1 x = 1, y = 1.5 x = 2, y = 2 Plot the points in the coordinate system, and draw the line, which is the line of the given equation.
To find the Domain and range when given a graph is to take the x-endpoints and to y-endpoint. You know that Domain is your input and range your output. so to find the function when given the graph you simply look at your plot points and use yout domain and range. like so: Say these where your plot points (0,4) and (9,6) You know your domain is {0,9} and it would be written like so: 0<x<9 then noticing your range is {4,6} and it would be written like so: 4<y<6
The major disadvantage of the Stem and Leaf plot is that it is dependant on the choice of intervals. The plot is not unique.
(1) First draw the line y = -x + 5.To do that, find two points that lie on the line. Well, when x = 0, y = 5, so plot (0,5) on the plane. When x = 1, y = 4, so plot (1,4). Now draw the only straight line that goes through both of those points. Because the inequality allows for points to lie on the line itself (that's the "or equals to" part), you can make the line solid. If it were just "greater than" (and not equals to) you would draw a dotted line.(2) Shade the correct side of the line.This line divides the plane in two. One side is all the points that satisfy the inequality; on the other side of the line none of the points satisfy the inequality. We will shade in the side that satisfies the inequality. To figure out which side it is, pick a point not on the line, like (0,0). Plug it into your inequality:y >= -x + 50 >= 0 + g0 >= 5This is not true, so shade the side of the plane that does not contain the origin.
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