Question

A line passes through the points (-4,3) and (0,0). What is the slope of the line?
-3/4, 3/4, -4/3, 4/3

Answer 1

To find the slope of the line that passes through the points \((-4, 3)\) and \((0, 0)\), you can use the slope formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Here, \((x_1, y_1) = (-4, 3)\) and \((x_2, y_2) = (0, 0)\). Plugging in these values, we get:

\[
m = \frac{0 - 3}{0 - (-4)} = \frac{-3}{0 + 4} = \frac{-3}{4}
\]

Thus, the slope of the line is \(-\frac{3}{4}\). Therefore, the correct answer is:

\(-\frac{3}{4}\)