Answer:
y = -2x + 5
Step-by-step explanation:
To find the slope, you need to pick two points and put into the slope formula. It doesn't matter which ones, you will get the right answer regardless. I used (-3, 11) and (2, 1).

Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form. You will also need to plug one of the given points. Again, it doesn't matter which one.

There isn't any choices given in this problem but I can give you a tip to answer these kinds of problem. When you say independent, it means that the equation cannot be algebraically altered to result to 3x + 4y = 8. So the equation 6x + 8y = 16 is not an independent equation since when you divide each side by 2 it will result to 3x + 4y =8. You get the idea. <span />
Answer:
Step-by-step explanation:
V=B*h=a*a*2a
<span>Let time taken by Luke to cover the distance = x hours
Speed of Luke = 6 miles per hour
Therefore, Distance covered by Luke = 6x ------(1)
Speed of Micah = 4 miles per hour
Since Micah walked 2 miles before Luke started running, Luke started 1/2 an hour after Micah started.
Therefore time taken by Micah to cover the distance = x+1/2
Distance covered by Micah = 4(x + 1/2) -------(2)
Equating (1) and (2)
6x = 4(x+1/2)
6x = 4x +2
2x = 2
x= 1
Therefore Luke would take 1 hour to cover the distance covered by Micah.</span>
Answer:
Kenneth will earn about $ 504 the next week
Step-by-step explanation:
The first thing we will have to figure out is how much Kenneth earns per hour. Then we can get how much he will earn when he wors for 42 hours.
to get Kenneth's wage per hour, we will divide the sum he is paid in the first week by the number of hours he worked that week.
This is 450/ 37.5 = 12 dollars per hour.
Kenneth earns $12 per hour.
If Kenneth works for 42 hours, he will earn 42 X 12 = $ 504 the next week