Answer:
The gradient of the line joining the points [tex]P(x,y) = (2,3)[/tex] and [tex]Q(x,y) = (5,7)[/tex] is [tex]\frac{4}{3}[/tex].
Step-by-step explanation:
The gradient of the line joining two distinct point on a plane is represented by the slope of a secant line ([tex]m_{PQ}[/tex]), that is:
[tex]m_{PQ} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (1)
If we know that [tex]P(x,y) = (2,3)[/tex] and [tex]Q(x,y) = (5,7)[/tex], then the gradient of the line is:
[tex]m_{PQ} = \frac{7-3}{5-2}[/tex]
[tex]m_{PQ} = \frac{4}{3}[/tex]
The gradient of the line joining the points [tex]P(x,y) = (2,3)[/tex] and [tex]Q(x,y) = (5,7)[/tex] is [tex]\frac{4}{3}[/tex].
