What is the equation of the line that passes through point (6,18) and has a y-intercept of -2

y=\frac{10}{3} x-2

Step-by-step explanation:

Notice that they are giving you two points on the plane that the line goes through:

1) the point (6,18), and

2) the point (0,-2) which is in fact the intersection of the line with the y axis.

So we use them to calculate first the slope of the line with the formula:

Now that we know the slope, we can use it in the general "slope-intercept" form of a line and at the same time using the fact that we know the line's y-intercept (-2):

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles