Find the equation of the line through (6,8) which is parallel to the line y=4x−6. Give your answer in the form y=mx+b.

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into :

2) Determine the y-intercept (b)

Plug in the given point (6,8) and solve for b

Subtract 24 from both sides to isolate b

Therefore, the y-intercept of the line is -16. Plug this back into :

I hope this helps!

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.