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?

1 answer
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?

Answers

For this case we have that by definition, the slope of a line is given by:[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]According to the statement data, we have that the line goes through the following points:[tex](x_ {1}, y_ {1}) :( 5,0)\\(x_ {2}, y_ {2}) :( 0,2)[/tex]Substituting we have:[tex]m = \frac {2-0} {0-5} = \frac {2} {- 5} = - \frac {2} {5}[/tex]Thus, the slope of the line is: [tex]- \frac {2} {5}[/tex]Answer:The slope of the line is:[tex]- \frac {2} {5}[/tex]

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