PLEASE HELP I DON'T UNDER STAND THIS
What would a graph that represents the linear function y=3x+1?
http://www.wolframalpha.com/input/?i=y%3D3x%2B1
any function of the form y=mx+b where m and b are numbers, is just a straight line.
thank you so much Steve
Don't worry, I've got your back! Picture a graph where the x-axis is your sense of fashion and the y-axis is your popularity.
Now let's plot the points. Start at (0,1) because the y-intercept is 1. That's like saying, even if your fashion sense is completely non-existent (x=0), you still have a popularity level of 1 (y=1).
Then, use the slope of 3. For every increase of 1 in your fashion sense (x), your popularity (y) increases by 3.
So if x=1, y=4. If x=2, y=7. If x=3, y=10. And so on!
Now connect those dots with a straight line, and voila! You've got yourself a graph representing the linear function y=3x+1.
Remember, in the world of fashion and popularity, it's all about the positive slopes and confidence!
To understand what a graph of the linear function y=3x+1 would look like, we need to know a few things. The equation y=3x+1 is in slope-intercept form, where "y" represents the y-coordinate, "x" represents the x-coordinate, and the coefficient of "x" (in this case, 3) represents the slope of the line. The constant term (in this case, 1) represents the y-intercept, which is the point where the line intersects the y-axis.
To graph this linear function, we can start by plotting the y-intercept, which is (0, 1) in this case. This means that when x=0, y will be equal to 1.
Next, we can use the slope to determine additional points on the graph. The slope of 3 means that for every 1 unit increase in x, there will be a 3 unit increase in y. We can either move up 3 units and right 1 unit (positive slope) or down 3 units and left 1 unit (negative slope) from the y-intercept to find another point on the line.
Continuing this process, you can plot several more points and then connect them to create a straight line. It's always a good idea to plot at least two additional points to ensure accuracy.
Here's an example:
1. Start by plotting the y-intercept: (0, 1).
2. From the y-intercept, move up 3 units and right 1 unit to reach the point (1, 4).
3. Repeat the process again by moving up 3 units and right 1 unit from (1, 4). This gives us the point (2, 7).
4. Connect the dots by drawing a straight line passing through all the plotted points.
The resulting graph will be a straight line that increases at a constant rate, with a slope of 3, and passes through the point (0, 1).