Question

What is the slope of the line that passes through the points (-5, 0) and (-3, 1)? Write your answer in simplest form.

Answer 1

☑ Slope is ½

Explanation:

`{ \tt{slope = (y_(2) - y _(1) )/(x _(2) - x _(1) ) }} \\`

» General points plotted on a line are;

• 
  `{ \rm{(x_(1), \: y _(1)) \: \: and \: \: (x_(2), \: y _(2) ) }}`

» From the question given, interpretation of the points is as below;

`{ \rm{x _(1) = {}^( - ) 5}} \\ { \rm{x _(2) = {}^( - )3 }} \\ { \rm{y_(1) = 0}} \\ { \rm{y_(2) = 1}}`

» Therefore, slope is;

`{ \tt{slope = \frac{1 - 0}{ {}^( - ) 3 - ( {}^( - )5) } }} \\ \\ = { \tt{ \frac{1}{ {}^( - )3 + 5 } }} \\ \\ = (1)/(2)`