Answer:
• General equation of a line is as below:
[tex]{ \boxed{ \tt{y = mx + c}}} \\ [/tex]
→ m is the slope
[tex]{ \tt{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ [/tex]
• Consider points (0, 3) and (3, 0) from the graph:
[tex]{ \tt{slope = \frac{0 - 3}{3 - 0} = \frac{ - 3}{3} }} \\ \\ { \tt{ \underline{ \: \: slope = - 1 \: \: }}}[/tex]
→ c is the y-intercept:
• consider point (0, 3):
[tex]{ \tt{y = mx + c}} \\ { \tt{3 = ( - 1 \times 0) + c}} \\ { \tt{c = 3}}[/tex]
» Therefore, substitute to make the equation of a line:
[tex]{ \boxed{ \boxed{ \tt{ \: \: y = - x + 3 \: \: }}}}[/tex]
