Question

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

Answer 1

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

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=(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=(y_2-y_1)/(x_2-x_1)\\Slope=(5-7)/(-3-(-6))\\Slope=(5-7)/(-3+6)\\Slope=(-2)/(3)`

So, the slope is
`-(2)/(3)`

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