"a music school charges a registration fee in addition to a fee per lesson. music lessons last 0.5 hour. the equation y=40x+30 represents the total cost y of x lessons. find and interpret the slope and y-intercept of the line that represents this situation. then find four points on the line."

i need on how to find and interpret the slope and y-intercept of the line that represents this situation and finding four points on the line.

Ok so first you'll need the slope-intercept formula known as y=mx+b. This is where m= slope and b = y-intercept

Basically you would look at the equation and see where the number is in relation to the formula. 

y=40x+30
y=mx+b

You can see that 40 = m (slope) and 30 = b (y-intercept)

That's finding the slope and y-intercept. To find points on the line, all you have to do is put a number in for the x and solve it to get the y. Then you will have an (x,y) coordinate.

Example:
x=1
y=40x+30
y=40(1)+30        (40 times 1 = 40)
y=40+30
y=70

So, if you used 1, your coordinate point would be at (1,70)

The answer is that the rate of change is $50 per 1 monthhope this ; )

221,500 is the answer