Question

find the slope of a line that goes through the points (0, 7) and (-9, 1).
options:
\\(\frac{2}{3}\\)
\\(-\frac{9}{6}\\)
\\(\frac{9}{6}\\)
\\(\frac{3}{2}\\)

Explanation:

Step1: Recall slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Assign coordinates

Let $(x_1,y_1)=(0,7)$, $(x_2,y_2)=(-9,1)$

Step3: Calculate numerator

$y_2 - y_1 = 1 - 7 = -6$

Step4: Calculate denominator

$x_2 - x_1 = -9 - 0 = -9$

Step5: Compute slope

$m = \frac{-6}{-9} = \frac{2}{3}$

Answer:

$\frac{2}{3}$