Need help! Graph the equation and identify the y intercept. Y = 1/5 x

THANK YOU!

make a table of values, graph. What does y equal when x is zero?

Hi bob. The table is what I do not understand. however when x is 0 I believe y is at 0 and if it is does that mean the y intercept is (0,0)?

yes, on the y intercept.

Now on the table: make a x,y table
x...y
Then put various values in for x, say 1,3,6,-4, figure the corresponding y, and fill in the table.
x...y
1...1/5 Ooops, now notice that y becomes a fraction, it helps if you choose x's that are multiple of 5, so rechoosing x, 0,5,10,-5
0...0
5...1
10..2
-5..-1
That is not so difficult. then graph.
3
6
-4

You know I had also approached it this way since I find the tables a bit challenging. May I?

1/5 x; I wanted to choose a multiple of 5 so I chose -15. -15/5 = -3. First pt (-15,-3);
Then x = 10;
y = 10/5 = 2 Second pt (10, 2). I then chose a third point on the graph just to make sure;
y = 5/5 = 1. Third point (5,1). It seems to line up. What do you think?

To graph the equation Y = (1/5)x, you can follow these steps:

Step 1: Choose a range of x values to plot on the graph. Let's say you choose x values from -10 to 10.
Step 2: Substitute each chosen x value into the equation to find the corresponding y value.
- For example, when x = -10, y = (1/5)(-10) = -2.
- When x = 0, y = (1/5)(0) = 0.
- When x = 10, y = (1/5)(10) = 2.
Step 3: Plot these points on the graph.
- The point (-10, -2) represents one point on the graph.
- The point (0, 0) represents another point on the graph.
- The point (10, 2) represents a third point on the graph.
Step 4: Connect the plotted points with a straight line.

To identify the y-intercept, which is the point where the graph intersects the y-axis, you can look at the point (0, 0) that we plotted earlier. The y-coordinate of this point is the y-intercept. In this case, the y-intercept is 0.

So, the graph of the equation Y = (1/5)x is a straight line that passes through the origin (0, 0) and has a y-intercept of 0.