I am having to graph this linear equation. y=-2x+4
This is what I know. The y-intercept is 4 and the slope is -2. So I would start at the y-axis at 4, then would I go down 2 units and over to left one or go up 2 units and to the right one. Don't know how to graph it.
Go to the right one unit and down two units from the (0,4) point on the y axis.
Your two suggestions (which are really the same) would result in a slope of +2, not -2.
Okay. I had went ahead and done this. I found out that a negative slope the line goes down left to right and a positive slope got up left to right. Thanks for the help.
To graph the linear equation y = -2x + 4, you can follow these steps:
1. Start by plotting the y-intercept, which is 4. This means the point (0, 4) is on the graph. Plot this point on the coordinate plane.
2. Next, use the slope to find another point on the line. The slope of -2 means for every one unit you move to the right, you should move two units down.
Starting from the point (0, 4), move one unit to the right. Then, move two units down. You will now be at the point (1, 2).
3. Connect the two points you plotted (0, 4) and (1, 2) with a straight line. This line represents the graph of the equation y = -2x + 4.
Remember, you can continue plotting more points on the line if necessary, but two points are usually enough to determine a straight line.
I hope this helps! If you have any further questions, feel free to ask.
To graph the linear equation y = -2x + 4, you need to use the slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
1. Start by plotting the y-intercept: The y-intercept is the point where the graph intersects the y-axis, which is when x = 0. In this case, the y-intercept is 4. So, mark the point (0, 4) on your graph.
2. Determine the slope: The slope of the equation is -2, which means that for every unit you move horizontally (to the right or left), you need to move down 2 units.
3. Plot additional points using the slope: To plot additional points, you can start from the y-intercept (0, 4) and use the slope to find other points.
- Move horizontally to the right one unit: Since the slope is -2, you need to go down 2 units. So, from the y-intercept (0, 4), move one unit to the right (x = 1) and down 2 units. This gives you the point (1, 2).
- Move horizontally to the right another unit: Again, move one unit to the right from the previous point (1, 2) and down 2 units. This will give you the point (2, 0).
4. Connect the points: Now that you have a few points, you can connect them with a straight line. Start from the y-intercept (0, 4) and draw a line that passes through the other points you plotted. The resulting line should extend infinitely in both directions.
By following these steps, you should be able to graph the linear equation y = -2x + 4 correctly.