What is the slope of the line that passes through the points left bracket, 1, comma, minus, 9, right bracket(1,−9) and left bracket, 4, comma, minus, 7, right bracket(4,−7)? Write your answer in simplest form
To find the slope of the line passing through the points (1, -9) and (4, -7), we can use the slope formula, which is:
\( slope = \frac{y_2 - y_1}{x_2 - x_1} \)
Plugging in the coordinates of the points, we get:
\( x_1 = 1 \)
\( y_1 = -9 \)
\( x_2 = 4 \)
\( y_2 = -7 \)
Now we apply the formula:
\( slope = \frac{-7 - (-9)}{4 - 1} = \frac{-7 + 9}{3} = \frac{2}{3} \)
So the slope of the line passing through the points (1, -9) and (4, -7) is \( \frac{2}{3} \), which is already in simplest form.