Question

Find me shape of the line through the pair of points: 1) (6,7) and (-3,5)

Answer 1

Answer:

Slope of the line through the pair of  points:  (6,7) and (-3,5) is $\mathbf{-\frac{2}{3}}$

Step-by-step explanation:

Find me shape of the line through the pair of

points:

1) (6,7) and (-3,5)

(Note: Correction. I assume there is spelling mistake and you need to find slope of line and not shape)

The slope of line can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We are given points (6,7) and (-3,5)

We can write: x_1=6, y_1=7, x_2=-2, y_2=5

Now, putting values in the formula and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{5-7}{-3-(-6)}\\Slope=\frac{5-7}{-3+6}\\Slope=\frac{-2}{3}$

So, the slope is $-\frac{2}{3}$

Therefore, Slope of the line through the pair of  points:  (6,7) and (-3,5) is $\mathbf{-\frac{2}{3}}$