how would u graph y=3/2x+4
sorry im not good at fractions
how would you graph y=1/4x
The first question I answered below at the original post. The second question is done the same way that I answered for x=4 except this one has a vertical line parallel to the y axis and passing through the point (1/4,0).
a nice trick to use if you have fractions for the slope is to use numbers which divide by the denominator.
e.g. for y = (3/2)x + 4 , I would pick even values of x
x = 4, then y =(3/2)(4) + 4 = 10
x = -2 , then y = (3/2)(-2) + 4 = 1
You now have two simple points (4,10) and (-2,1) to plot and draw the line
do the same for the second, pick multiples of 4 for your x's
To graph the equation y = 3/2x + 4 or y = 1/4x, we can follow a few steps:
1. Set up a coordinate plane, with the x-axis and y-axis intersecting at the origin (0,0).
2. Identify the slope and y-intercept of the equation. The equation is in the slope-intercept form y = mx + b, where m represents the slope and b represents the y-intercept.
- For y = 3/2x + 4, the slope is 3/2, and the y-intercept is 4.
- For y = 1/4x, the slope is 1/4, and there is no y-intercept since it passes through the origin.
Now, let's graph them step by step:
Graphing y = 3/2x + 4:
1. Plot the y-intercept at the point (0, 4) on the coordinate plane.
2. Use the slope (3/2) to find additional points on the line. The slope represents the change in y divided by the change in x.
- For example, if you move one unit to the right (increase x by 1), you need to move 3/2 units upward (increase y by 3/2).
- Start at the y-intercept (0, 4), and move one unit to the right (increase x by 1) to get (1, 5.5) or (1, 11/2).
3. Connect the points to draw a line. Extend the line in both directions to represent that it continues indefinitely.
Graphing y = 1/4x:
1. Since y = 1/4x passes through the origin (0,0), mark that point on the coordinate plane.
2. Use the slope (1/4) to find additional points on the line. Similar to the previous example, for every 1 unit moved to the right, move 1/4 units upward.
- For example, if you move four units to the right (increase x by 4), you need to move 1 unit upward (increase y by 1).
3. Connect the points to draw a line. Extend the line in both directions.
Remember, a graph is a visual representation of the equation, and it helps us understand the relationship between x and y values.