Question

What is the slope and slope intercept of the coordinates (0,-2) and (2,-1)?

Answer 1

The slope of given coordinates (0,-2) and (2,-1) is
`(1)/(2)`

The slope intercept form is
`y = (1)/(2)x -2`

Solution:

Given that the coordinates are (0,-2) and (2,-1)

To find: slope and slope intercept form

The slope of line is given as:

For a line containing two points
`(x_1 , y_1)` and
`(x_2, y_2)` , slope of line is given as:

`{m}=(y_(2)-y_(1))/(x_(2)-x_(1))`

Here in this problem,

coordinates are (0,-2) and (2,-1)

`x_(1)=0 ; y_(1)=-2 ; x_(2)=2 ; y_(2)=-1`

Substituting the values in above formula,

`m=(-1-(-2))/(2-0)=(-1+2)/(2)=(1)/(2)`

Thus slope of line is
`(1)/(2)`

To find slope intercept form:

The slope intercept form is given as:

y = mx + b

Where "m" is the slope of line and "b" is the y-intercept

Substitute
`m = (1)/(2)` and (x, y) = (0, -2) in above slope intercept we get,

`-2 = (1)/(2) * 0 + b`

b = -2

Thus the required slope intercept is given as:

Substitute
`m = (1)/(2)` and b = -2 in slope intercept form,

`y = (1)/(2)x -2`

Thus the slope intercept form is found