IDNLearn.com: Where your questions meet expert advice and community support. Discover in-depth answers from knowledgeable professionals, providing you with the information you need.
Sagot :
To determine the slope of the trend line that passes through the points [tex]\((-3, 3)\)[/tex] and [tex]\( (18, 26)\)[/tex], we can use the slope formula:
[tex]\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]
First, assign the coordinates to [tex]\(x_1, y_1\)[/tex] and [tex]\(x_2, y_2\)[/tex]:
[tex]\[ (x_1, y_1) = (-3, 3) \][/tex]
[tex]\[ (x_2, y_2) = (18, 26) \][/tex]
Next, calculate the numerator [tex]\(y_2 - y_1\)[/tex]:
[tex]\[ y_2 - y_1 = 26 - 3 = 23 \][/tex]
Then, calculate the denominator [tex]\(x_2 - x_1\)[/tex]:
[tex]\[ x_2 - x_1 = 18 - (-3) = 18 + 3 = 21 \][/tex]
Finally, compute the slope:
[tex]\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{23}{21} \][/tex]
Thus, the slope of the trend line passing through the points [tex]\((-3, 3)\)[/tex] and [tex]\( (18, 26)\)[/tex] is:
[tex]\[ \frac{23}{21} \][/tex]
The correct answer is:
[tex]\[ \frac{23}{21} \][/tex]
[tex]\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]
First, assign the coordinates to [tex]\(x_1, y_1\)[/tex] and [tex]\(x_2, y_2\)[/tex]:
[tex]\[ (x_1, y_1) = (-3, 3) \][/tex]
[tex]\[ (x_2, y_2) = (18, 26) \][/tex]
Next, calculate the numerator [tex]\(y_2 - y_1\)[/tex]:
[tex]\[ y_2 - y_1 = 26 - 3 = 23 \][/tex]
Then, calculate the denominator [tex]\(x_2 - x_1\)[/tex]:
[tex]\[ x_2 - x_1 = 18 - (-3) = 18 + 3 = 21 \][/tex]
Finally, compute the slope:
[tex]\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{23}{21} \][/tex]
Thus, the slope of the trend line passing through the points [tex]\((-3, 3)\)[/tex] and [tex]\( (18, 26)\)[/tex] is:
[tex]\[ \frac{23}{21} \][/tex]
The correct answer is:
[tex]\[ \frac{23}{21} \][/tex]
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.