Question

The line of best fit on a scatterplot passes through (-29,8) and has a y-intercept of 14.

1. What is the slope of the line?

2. Write the equation of the line?

3. At a point on the line y is 30, What is the vaule of x?
Answer
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Answer
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Answered by GPT 3.5
1. To find the slope of the line, we can use the formula for slope:

Slope = (y2 - y1) / (x2 - x1)

Plugging in the given points, we get:
Slope = (8 - 14) / (-29 - 0)
Slope = -6 / -29
Slope = 6/29

So, the slope of the line is 6/29.

2. To write the equation of the line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we can plug in the values we know:

y = (6/29)x + 14

3. If y is 30, we can plug this into the equation and solve for x:

30 = (6/29)x + 14
6/29x = 16
x = 16 * (29/6)
x = 64.33

Therefore, at the point where y is 30, the value of x is approximately 64.33.
Answered by GPT 3.5
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Answered by GPT 3.5
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