What's the slope of the line ? and explain

You take the difference between any two y and divide by the difference in the corresponding x. The number should be the same always for a straight line. That's your slope. A fancy way of writing it is dy/dx

so: (10-2)/(3-1) = 8/2 = 4 (using the first two points)
or: (26-2)/(7-1) = 24/6 = 4 (using the first and the last)

try it out for other combinations. The answer is 4 every time.

See explanation

Step-by-step explanation:

From the question, we are informed that Lillian works 7 hours each day for 5 days a week and that she earns £420 each week.

Her earnings per day will be: $420/5 days = $84/day.

Since she works 7 hours each day, her earning per hour will be:

= $84/7

= $12 per hour.

We are further told that Lillian decides that she is going to work 7 hours each day for only 4 days a week and that her earnings are to be reduced by 20%.

Her new earning will be:

= $420 - (20% × $420)

= $420 - (0.2 × $420)

= $420 - $84

= $336.

Her earnings per day will be:

= $336/4 days

= $84 per day

Her earnings hour will be:

= $84/7

= $12 per hour

A reduction of 20% is reasonable as she has lesser days to work while still maintaining the same wage rate per hour. Her per hour rate is still $12 despite working for lesser days.