Line gh contains points g(–2, 6) and h(5, –3). what is the slope of ?

We will use the slope formula and fill it in accordingly.

Our x2 is 5 and x1 is -2; our y2 is -3 and y1 is 6

.

The slope of your line is -9/7

Answer

Find out the slope of the points  G(–2, 6) and H(5, –3).

To prove

The equation for finding the slope of two points be

where m represented the slope .

As given

points G(–2, 6) and H(5, –3).

solving the above terms

Therefore the slope of  points G(–2, 6) and H(5, –3) is

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."