or
Graph this line using the slope and y-intercept:
y=
1
3
x+9
To graph the line y=1/3x+9, we first identify the y-intercept, which is 9. This tells us that the line intersects the y-axis at y=9.
Next, we identify the slope of the line, which is 1/3. This means that for every 1 unit increase in x, there is a 1/3 unit increase in y.
To graph the line, we start at the y-intercept of (0,9) and then use the slope to find additional points on the line. We can move 1 unit to the right (increasing x by 3) and then move up 1/3 unit (increasing y by 1). This gives us the point (3,10).
We can continue this process to find more points on the line. Alternatively, we can use a straight edge to connect the points (0,9) and (3,10) to graph the line.
Graph this line using the slope and y-intercept:
y=4x+3
To graph the line y = 4x + 3, we first identify the y-intercept, which is 3. This tells us that the line intersects the y-axis at y = 3.
Next, we identify the slope of the line, which is 4. This means that for every 1 unit increase in x, there is a 4 unit increase in y.
To graph the line, we start at the y-intercept of (0, 3) and then use the slope to find additional points on the line. We can move 1 unit to the right (increasing x by 1) and then move up 4 units (increasing y by 4). This gives us the point (1, 7).
We can continue this process to find more points on the line. Alternatively, we can use a straight edge to connect the points (0, 3) and (1,7) to graph the line.
Graph this line using the slope and y-intercept:
y=
1
7
x+2
To graph the line y = (1/7)x + 2, we start by identifying the y-intercept, which is 2. This means that the line intersects the y-axis at y = 2.
Next, we identify the slope of the line, which is 1/7. This means that for every 1 unit increase in x, there is a 1/7 unit increase in y.
To graph the line, we start at the y-intercept of (0, 2) and then use the slope to find additional points on the line. We can move 7 units to the right (increasing x by 7) and then move up 1 unit (increasing y by 1). This gives us the point (7, 3).
We can continue this process to find more points on the line or use a straight edge to connect the points (0, 2) and (7, 3) to graph the line.