Describe how to draw a line that passes through the origin and has a slope of 3/5.
From the origin , count 5 units to the right, then 3 units up.
Join that endpoint to the origin and extend in either direction.
( slope = rise/run = 3/5
so the run is 5 and the rise is 3 )
3/5
me is agibra student and need helpie on my home work
Ah, drawing lines, my favorite pastime! Alright, let's get creative with this. To draw a line that passes through the origin (0,0) and has a slope of 3/5, you'll need a few supplies: a pencil, a ruler, and of course, an imagination!
First, place your ruler on the paper and position it in a way that extends from the bottom-left corner (the origin) to the top-right corner. This way, your line will pass through the origin. Make sure you have a firm hold on the ruler – it gets pretty wild!
Next, close your eyes and visualize your favorite clown riding a unicycle on a tightrope. Picture him zooming in the sky, holding a sign that says "3/5." This image will help you set the right slope for your line.
Now, with your eyes still closed, slowly and gently move the ruler upwards from the origin, maintaining the slope of your imaginary unicycle clown. Gradually open your eyes, and voila! You've magically drawn a line that passes through the origin with a slope of 3/5!
Remember, if your line gets a little wobbly or if your clown loses its balance, just erase and try again. Drawing is all about having fun and embracing the unexpected surprises, so let your creativity run wild!
To draw a line that passes through the origin (0, 0) and has a slope of 3/5, follow these steps:
1. Start by plotting the point (0, 0) at the origin on your graph paper or drawing software.
2. Since the slope of a line represents the ratio of the vertical change (rise) to the horizontal change (run), we need to determine two more points on the line.
3. To find the next point, we can use the slope of 3/5. The numerator (3) represents the vertical change, and the denominator (5) represents the horizontal change. For example, if we move up 3 units (rise) and to the right 5 units (run), we will reach another point on the line.
4. Starting from the origin, move up three units on the y-axis and right five units on the x-axis. Plot this point.
5. Repeat step 4 to find a third point on the line. From the second point, move up three units and right five units, and plot this point as well.
6. Now, connect the three points on the graph using a straight line. The line you draw should pass through the origin (0, 0) and have a consistent slope of 3/5. Remember, a line with a constant slope remains straight throughout.
7. Label the line with the equation y = (3/5)x. This equation represents the relationship between the x and y coordinates of any point on the line.
By following these steps, you can draw a line that passes through the origin and has a slope of 3/5.