a find the slope of the line and interpret the slope The slo

a)
find the slope of the line and interpret the slope
The slope of the line is ?

b) interpret the slope
For every 2 unit change in x the y change is ____ units ?

Ans: Here we are given 2 points (0,0) & (2,1)

We calculate the linear slope by using the formula: (y2-y1)/(x2-x1)

Which here translates to (1-0)/(2-0) = 1/2 = 0.5

As the slope is positive we can interpret that the quantity plotted on y axis increases as the quantity plotted on x axis increases.

As we know the slope (y2-y2)/(x2-x1) = 0.5 which gives (y2-y1) = 0.5×(x2-x1)

When x2-x1 = 2 units then y2-y1 = 0.5×2 = 1 unit

So for every 2 units change in x there is 1 unit change in y.