The equation of the line passing through the points (6, 9) and (4, 17) can be expressed as y = mx + b. give the value of b

The slope -intercept form of linear equation is y=mx+b.

Where m= slope and b=y-intercept.

Formula to find m is,

The line passes through (6,9) and(4, 17). So, we can plug in x1=6, y1=9, x2=4 and y2=17 in the above formula. So,

So, m=-4

Now we can plug in m=-2, x=6 and y=9 in y=mx+b to get the value of b. So,

9=(-4)*(6)+b

9=-24+b

9+24=b Adding 24 to each sides.

So, b=33.

- "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."

what graph

step-by-step explanation: