Question
Find the slope of the line that passes through the given points.(12,-18) and (11,12)(1 point)Responses−130negative 1 over 301301 over 303030-30
Answers
GPT-4o mini
To find the slope of the line that passes through the points \((12,-18)\) and \((11,12)\), you can use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Where:
- \((x_1, y_1) = (12, -18)\)
- \((x_2, y_2) = (11, 12)\)
Now substitute the values into the formula:
\[
m = \frac{12 - (-18)}{11 - 12}
\]
Simplify the numerator and the denominator:
\[
m = \frac{12 + 18}{11 - 12} = \frac{30}{-1} = -30
\]
Thus, the slope of the line that passes through the given points is \(-30\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Where:
- \((x_1, y_1) = (12, -18)\)
- \((x_2, y_2) = (11, 12)\)
Now substitute the values into the formula:
\[
m = \frac{12 - (-18)}{11 - 12}
\]
Simplify the numerator and the denominator:
\[
m = \frac{12 + 18}{11 - 12} = \frac{30}{-1} = -30
\]
Thus, the slope of the line that passes through the given points is \(-30\).