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 $\frac{1}{2}$

The slope intercept form is $y = \frac{1}{2}x -2$

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:

${m}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

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,

$m=\frac{-1-(-2)}{2-0}=\frac{-1+2}{2}=\frac{1}{2}$

Thus slope of line is $\frac{1}{2}$

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 $m = \frac{1}{2}$ and (x, y) = (0, -2) in above slope intercept we get,

$-2 = \frac{1}{2} \times 0 + b$

b = -2

Thus the required slope intercept is given as:

Substitute $m = \frac{1}{2}$ and b = -2 in slope intercept form,

$y = \frac{1}{2}x -2$

Thus the slope intercept form is found