Write the following linear equation in slope-intercept form:y-3=1/2(x-4)

Y = 1/2x + 1

Step-by-step explanation:

Parentheses first: Distribute 1/2 to the x and -4

You would have y-3=1/2x-2

Add the 3 to both sides to get y by itself

You would have y=1/2x+1 and the formula is in the correct form since slope intercept is y=mx+b

y=1/2x+1

Step-by-step explanation:

Original: y-3=1/2(x-4)

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation: