Question

Find the slope of the line that passes through the points (0,0) and (-2,-3)

Answer 1

`</p><p>s=\frac{\Delta{y}}{\Delta{x}}=(-3-0)/(-2-0)=\boxed{(3)/(2)}</p><p>`

Hope this helps.

r3t40

Answer 2

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 two points through which the line passes.

We have as data that:

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

Substituting:

`m = \frac {-3-0} {- 2-0}\\m = \frac {-3} {- 2}\\m = \frac {3} {2}`

Thus, the slope of the line is
`\frac {3} {2}`

Answer :

`m = \frac {3} {2}`