Question

Find the slope of the line joining (2, 3) and (3, –1). Check whether this line passes through the point (5, 6). What about the point (5, -9)?

Answer 1

∴ Slope of the line joining (2, 3) and (3, –1)

\(=\frac{3-1}{2-3}=\frac{3+1}{-1}=-4\)

Slope of the line is –4

For point (5, –6)

Slope = \(\frac{6-3}{5-2}=\frac{3}{3}=1\)

Since slope = 4,

this line does not pass through (5,6)

For point (5, –9) Slope = \(\frac{-9-3}{5-2}=\frac{-12}{3}=4\)

The line (5, –9) pass through the point.