Which graph represents the linear function y=-5x+2
The correct graph representing the linear function y = -5x + 2 would be:
The answer is not there for y=-5x+2
I apologize for the oversight. Here is the graph representing the linear function y = -5x + 2:
The correct graph would be a straight line with a negative slope of -5 passing through the y-intercept at (0, 2).
Thank you
You're welcome! If you have any more questions, feel free to ask.
The graph of a linear function can be expressed as a straight line. To graph the linear function y = -5x + 2, we can use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
For the given function y = -5x + 2, the slope is -5 and the y-intercept is 2. To graph this linear function, follow these steps:
1. Locate the y-intercept: Begin by plotting the point (0, 2) on the graph. This point represents where the line intersects the y-axis.
2. Use the slope to find additional points: Since the slope is -5, it means that for every one unit increase in the x-coordinate, the y-coordinate will decrease by five units. So, from the point (0,2), you can move one unit to the right and five units down to plot the next point. This gives you the point (1, -3).
3. Connect the points: Once you have plotted the y-intercept and another point using the slope, you can draw a straight line connecting the two points. This line represents the graph of the linear function y = -5x + 2.
The graph should appear as a straight line, sloping downward from left to right, crossing the y-axis at the point (0, 2).
To graph the linear function y = -5x + 2, we can use the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept.
The slope, m, in this case, is -5, which means that for every increase of 1 in the x-coordinate, the y-coordinate will decrease by 5. The y-intercept, b, is 2, which means that the graph intersects the y-axis at the point (0, 2).
To graph the linear function, we can start by plotting the y-intercept at (0, 2). Then, we can use the slope to find another point on the line.
Since the slope is -5, we can move 1 unit to the right (positive x) and 5 units down (negative y) to find the second point. Starting from (0, 2), we move to the right 1 unit to get to (1, -3).
We can repeat this process and continue to find more points that lie on the line. For example, moving right 2 units from (1, -3) gives us (3, -13), and moving left 1 unit from (0, 2) gives us (-1, 7).
Once we have a few points, we can connect them to create a straight line.
So the graph of the linear function y = -5x + 2 would look like this:
(3,-13)
/
/
(1,-3) /
/ /
/ __/
/ /
(0,2)--/__/-------------------
-1 0 1 2 3 ...
This line extends infinitely in both directions.