Find the slope of the line through each pair of points

Question

(-17,1),(13,-19)

Answer 1

Slope of a line is the following ratio:

 

(y_2-y_{1) /(} x₂-x₁₎

 

In this case:

y2 = -19, y1=1

x2 = 13, x1 =-17

(be careful with the signs)

 

Therefore, slope = (-19-1)/(13-(-17)) = -20/30 = -2/3

 

The negative slope means the line makes a greater than 90 deg angle with the +ve x-axis.