Step-by-step explanation:
Slope formula:
[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]
m = slope
Substitute the points into the formula format:
[tex] \frac{7.5}{3} - \frac{5}{6} = m[/tex]
Solve:
[tex] \frac{ 7.5}{3} - \frac{5}{6} = \frac{2.5}{ - 3} [/tex]
[tex] \frac{ 2.5}{ - 3} = - \frac{5}{6} [/tex]
The slope equals -5/6.