Question

Given two points A -3,6 and B -2,9 calculate the slope step by step

Answer 1

`A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{6})\qquad B(\stackrel{x_2}{-2}~,~\stackrel{y_2}{9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{9}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{-2}-\underset{x_1}{(-3)}}} \implies \cfrac{3}{-2 +3} \implies \cfrac{ 3 }{ 1 } \implies \text{\LARGE 3}`

Answer 2

Explanation:

To calculate the slope between two points A (-3, 6) and B (-2, 9), we can use the formula:

slope = (change in y) / (change in x)

where "change in y" is the difference between the y-coordinates of the two points, and "change in x" is the difference between the x-coordinates of the two points.

So, let's plug in the values of the two points into the formula:

slope = (9 - 6) / (-2 - (-3))

slope = 3 / 1

slope = 3

Therefore, the slope between points A (-3, 6) and B (-2, 9) is 3.