how would I graph a slope of 0.2 and a y intercept of 0.3?
I know that y intercept is up and down, and the slope is rise (up)over run (across) , but I am confused because of the decimal format. Thank you, I asked mom but she doesn't know either, and I couldn't find examples in the book.
To graph a line with a slope of 0.2 and a y-intercept of 0.3, follow these steps:
1. Start by plotting the y-intercept, which is the point (0, 0.3) on the y-axis.
2. Since the slope is 0.2, it means that for every unit increase in the x-coordinate, the y-coordinate will increase by 0.2 units.
3. From the y-intercept (0, 0.3), move one unit horizontally right (run) and 0.2 units vertically up (rise) to find the next point.
4. Repeat step 3 to find additional points. For example, from the previously plotted point, move another unit right and 0.2 units up to find the next point.
5. Connect the points using a ruler or straight edge to form a straight line.
By repeating steps 3 and 4, you can plot as many points as you need to accurately represent the line. Remember that the slope of 0.2 means that the line has a gentle increase as you move to the right.
I hope this helps! Let me know if you have any further questions.
To graph a line with a slope of 0.2 and a y-intercept of 0.3, you can follow these steps:
1. Start by plotting the y-intercept. The y-intercept is the point where the line intersects the y-axis. In this case, the y-intercept is 0.3, so you can mark a point on the y-axis at (0, 0.3).
2. Next, use the slope to determine additional points on the line. The slope is equal to the rise (vertical change) over the run (horizontal change). For a slope of 0.2, this means that for every 1 unit you move horizontally (run), you should move 0.2 units vertically (rise).
For example, starting from the y-intercept point (0, 0.3), you can move 1 unit horizontally to the right and then move 0.2 units vertically upwards. This gives you a new point at (1, 0.5).
3. Repeat this process to find more points. For instance, starting from the point (1, 0.5), you can again move 1 unit horizontally to the right and then move 0.2 units vertically upward. This would give you another point at (2, 0.7).
4. Once you have enough points, connect them using a straight line. In this case, since we only have two points, you can draw a line passing through both of them. The line should have a positive slope and gradually increase as you move from left to right.
5. Finally, label the line with its equation, which represents the relationship between x and y. In this case, the equation of the line would be y = 0.2x + 0.3, where 0.2 is the slope, x represents the horizontal coordinate, and 0.3 is the y-intercept.
Remember, the decimal format of the slope just means that for every 1 unit you move horizontally, you move 0.2 units vertically. It represents a gradual increase in y-values as x-values increase.
Y = mx + b, Y = 0.2x + 0.3.
When y = 0, x = -1.5. X-int.
When x = 0, y = 0.3. Y-int.
When x = 5, y = 1.3.
P1(-1.5,0), P2(0,0.3), P3(5,1.3).
Use the above points for graphing.