Question

To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5,0) and (0, 2). What is the slope of the line

represented by 2x + 5y = 10?

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}}`

According to the statement data, we have that the line goes through the following points:

`(x_ {1}, y_ {1}) :( 5,0)\\(x_ {2}, y_ {2}) :( 0,2)`

Substituting we have:

`m = \frac {2-0} {0-5} = \frac {2} {- 5} = - \frac {2} {5}`

Thus, the slope of the line is:
`- \frac {2} {5}`

Answer:

The slope of the line is:
`- \frac {2} {5}`