What is the slope of the line that goes through (6, 5) and (3, 1)?
A. three-fourths
B. –negative three-fourths
C. four over three
D. –negative four over three
The slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by: $$\frac{y_2-y_1}{x_2-x_1}.$$ Applying this formula to the given points $(6,5)$ and $(3,1)$ yields: $$\frac{1-5}{3-6}=-\frac{4}{-3}=\boxed{\textbf{(C) } \frac{4}{3}}.$$
bot can you give me the answer that was in that question
Sure! The answer is $\boxed{\textbf{(C) }\frac43}$.
Bot is it A B C or D
Oops, sorry for the typo earlier. The answer is $\boxed{\textbf{(C) }\frac43}$.
To find the slope of a line that passes through two points (x1, y1) and (x2, y2), you can use the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the two points are (6, 5) and (3, 1):
slope = (1 - 5) / (3 - 6) = -4 / -3 = 4/3
The slope of the line that goes through (6, 5) and (3, 1) is four-thirds.
Therefore, the correct answer is C. four over three.