Which graph represents a linear function that has a slope of 0.5 and a y-intercept of 2?
2 answers:
The slope-intercept form of line:
y = mx + b
The slope m = 0.5 and y-intercept b = 2. Therefore we have the equation:
y = 0.5x + 2.
It is a linear function. We need only two points to plot the graph.
We have y-intercept, therefore we have the point (0, 2).
Second point:
for x = -4 → y = 0.5(-4) + 2 = -2 + 2 = 0 → (-4 , 0)
The graph in the attachment.
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Answer:
Any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.
Step-by-step explanation:
<u>Interpreting Box Plots</u>
A box plot is used to present the 5-Number summary of a set of data.
The 5-Number summary consists of the following in their order of appearance on the box plot.
- Minimum Value
- First Quartile,
- Median,
- Third Quartile,
- Maximum Value
In the box plot, the following rules applies
- The whisker starts from the minimum value and ends at the first quartile.
- The box starts at the first quartile and ends at the third quartile. There is a vertical line inside the box which shows the median.
- The end whisker starts at the third quartile and ends at the maximum value.
Using these, we interpret the given box plot
A left whisker extends from 1 to 6.
- Minimum Value=1
- First Quartile =6
The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12.
- Median=12
- Thrid Quartile=16
The right whisker extends from 16 to 19.
- Maximum Value =19
Therefore any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.