Question

Find the slope and slope equation.

Answer 1

For this case we have that, by definition, the slope of a line is given by:

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

Where:

`(x_ {1}, y_ {1})\\(x_ {2}, y_ {2})`

They are points through which the line passes.

According to the figure we have that the line goes through the following points:

`(x_ {1}, y_ {1}) :( 2, -4)\\(x_ {2}, y_ {2}) :( 0, -3)`

Substituting in the equation we have:

`m = \frac {-3 - (- 4)} {0-2} = \frac {-3 + 4} {- 2} = \frac {1} {- 2} = - \frac {1} {2 }`

Thus, the slope of the line is:
`m = - \frac {1} {2}`

Answer:

`m = - \frac {1} {2}`

Answer 2

We can use points (-2, -2) and (2, -4) to solve.

Slope formula: y2-y1/x2-x1

= -4-(-2)/2-(-2)

= -2/4

= -1/2

Slope-intercept form: y = mx + b

m = slope

b = y-intercept

y = -1/2x - 3

Hope This Helped! Good Luck!