how do we plot this on a graph
-2x+y=4
Pick a couple of points that are on the graph and connect them with a straight line on an y vs x graph. Make y axis the vertical axis.
When x = 0, y = 4.
That can be one of the points.
When y= 0, x = -2. That can be another one.
This website, with an actual graph, may explain the procedure for plotting a single equation better than I can with just words.
http://www.math.com/school/subject2/lessons/S2U4L3GL.html
To plot the equation -2x + y = 4 on a graph, we first need to rearrange it into the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Let's rearrange the given equation:
-2x + y = 4
Adding 2x to both sides, we get:
y = 2x + 4
Now, we can identify that the equation is in the form y = mx + b, where m (the slope) is 2, and b (the y-intercept) is 4.
To plot the equation on a graph, we start by marking the y-intercept on the graph at (0, 4). This is the point where the line crosses the y-axis.
Next, we use the slope (m = 2) to find the second point on the graph. The slope tells us to move up 2 units and right 1 unit from any given point on the line.
By starting from the y-intercept (0, 4) and applying the slope, we can plot the second point at (1, 6).
Once we have at least two points, we can simply draw a straight line passing through both points. This line represents the graph of the equation -2x + y = 4.
Remember to label the axes and any important points on the graph.