What’s the slope of the function y=2/3x+6

2/3

/Step-by/-step explanation: What you're looking at there is slope intercept form which is given by the general equation y=mx+b. Like any equations in this form, m=the slope of the line (rise in y values over run of x value) and b is the y-intercept - the point where the line will cross the y axis. In your equation, the slope is 2/3 because it is attached before the x and means that for every time your line increases by two values in the vertical direction, it will also increase 3 values in the horizontal direction.

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or  

- "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."