Explanation
- Calculate the slope by using rise over run with given coordinate points.
[tex] \bold {m = \frac{rise}{run} } \\ m = \frac{0 - ( -2)}{0 - 10} \\ m = \frac{0 + 2}{ - 10} \\ m = \frac{2}{ - 10} \\ m = - \frac{1}{5} [/tex]
- From the slope-intercept form.
[tex]y = mx + b \\ m = slope \\ b = y - intercept[/tex]
Because the graph passes origin point (0,0). Therefore the value of b is 0.
Answer
[tex] \large \boxed {y = - \frac{1}{5} x}[/tex]
