Step-by-step explanation:
Slope formula:
[tex]\boxed{ \frac{y2}{x2} - \frac{y1}{x1} = m}[/tex]
m = slope
Substitute the points into the formula:
[tex] \frac{13}{5} - \frac{6}{ - 2} = m[/tex]
Solve:
[tex]\frac{13}{5} - \frac{6}{ - 2} = \frac{7}{7} [/tex]
Simplify:
[tex] \frac{7 \div 7}{7 \div 7} = \frac{1}{1} = 1[/tex]
The slope equals 1.
