Graph using the slope and y intercept
what are the points
x+3y=9
Damon did one just like this for you. Where do you get stuck on this one?
To graph a line using its slope and y-intercept, follow these steps:
1. Rearrange the equation to slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
In this case, the equation is x + 3y = 9. Solve for y:
x + 3y = 9
3y = 9 - x
y = (9 - x) / 3
2. Identify the slope and y-intercept:
The coefficient of x (-1) represents the slope, which is -1.
The constant term (9/3 = 3) represents the y-intercept, which is 3.
3. Plot the y-intercept:
The y-intercept is the point (0, 3). Mark this point on the graph.
4. Use the slope to find additional points:
The slope of -1 means that for every 1 unit increase in x, y will decrease by 1 unit. So, starting from the y-intercept point, we can move 1 unit to the right and 1 unit down to find another point.
Starting from (0, 3), move 1 unit to the right: (1, 3 - 1) = (1, 2)
Plot the point (1, 2).
5. Repeat step 4 to find more points:
To find additional points, continue moving 1 unit to the right and 1 unit down from the previous point.
Moving from (1, 2):
- Move 1 unit to the right: (2, 2 - 1) = (2, 1)
- Plot the point (2, 1).
6. Connect the points:
Once you have plotted enough points, draw a straight line passing through all the points. This line represents the graph of the equation x + 3y = 9.
The points on the graph will be (0, 3), (1, 2), (2, 1), and so on, based on the pattern explained in step 4.