Question

Question 2
Bandile wants to start cycling and she wants to know the slope of the route she is planning to take. If
her location is indicated on a co-ordinate system of axes, her starting point is at (2;3) and her finishing
point is at (8; 6). Determine the slope when a straight line is drawn between these points. State
whether the line has a descending or ascending trend from left to right on the co-ordinate system of
axes.​

Answer 1

Step-by-step explanation:

Question 2

Bandile wants to start cycling and she wants to know the slope of the route she is planning to take. If

her location is indicated on a co-ordinate system of axes, her starting point is at (2;3) and her finishing

point is at (8; 6). Determine the slope when a straight line is drawn between these points. State

whether the line has a descending or ascending trend from left to right on the co-ordinate system of

axes.

Answer 2

Answer:

The slope of the straight line is $\frac{1}{2}$ and it has an ascending trend from left to right

Step-by-step explanation:

Given that,

Bandile wants to start cycling and she wants to know the slope of the route she is planning to take and her location is indicated on a co-ordinate system of axes, her starting point is at (2,3) and her finishing

point is at (8,6).

If a line passes through the points $A(x_{1},y_{1})$ and $B(x_{2},y_{2})$,then the slope of the straight line is found as $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Hence,the slope for the line between the given points is

$\frac{6-3}{8-2}=\frac{1}{2}$

As the slope is positive,the line has an ascending trend from left to right on the co-ordinate system of axes.

Therefore,The slope of the straight line is $\frac{1}{2}$ and it has an ascending trend from left to right.

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