a line passes through the point (4 –6) and has a slope of -
1 answer:
Answer:
Step-by-step explanation:
A line that passes through the point (4,-6) has a slope of 5/-4. Which of the following gives the equation of the line?
With the slope of 5/-4, and the ordered pair (4,-6) :
let m = 5/-4 (slope),
x1 = 4
y1 = -6
We can use those given values into the point-slope formula:
y - y1 = m(x - x1)
Plugging in those values will give you the answer:
y - (-6) = (x - 4)
Distribute into the terms inside the parenthesis:
y + 6 = + 5
Subtract 6 from both sides to isolate y:
y + 6 - 6 = +5 - 6
The equation of the line in slope-intercept form is:
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{13, 15, 15, 17, 18, 18, 20, 21, 21, 23, 26, 27, 28, 30, 32, 33, 37, 40}
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The "30-39" bar will be 4 units high because there are 4 items in the set {30, 32, 33, 37}
There is only one person who is between 40 and 49, and that person is 40 years old. So the "40-49" group has a bar that has height of 1.
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{13, 15, 15, 17, 18, 18, 20, 21, 21, 23, 26, 27, 28, 30, 32, 33, 37, 40}
From this list, we can see which values are between 10 and 19 (inclusive). Those values are {13, 15, 15, 17, 18, 18} which represents 6 values. So the first bar (for the "10-19" group) is going to be 6 units high.
The next group, in the "20-29" group, is this set of values {20, 21, 21, 23, 26, 27, 28} which is 7 items this time. The second bar is 7 units high.
The "30-39" bar will be 4 units high because there are 4 items in the set {30, 32, 33, 37}
There is only one person who is between 40 and 49, and that person is 40 years old. So the "40-49" group has a bar that has height of 1.
The final histogram and frequency chart is shown in the attached image. The frequency chart is optional, but it helps supplement the histogram in my opinion.