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]
