(3,4) (9,7)
to find the slope
m = (y2-y1)/(x2-x1)
= (7-4)/(9-3)
3/6
1/2
The slope is 1/2
point slope form
y-y1 = m(x-x1)
y-4 = 1/2(x-3)
distribute
y-4 = 1/2x -3/2
add 4 to each side
y = 1/2 x -3/2 + 4
y = 1/2 x -3/2 + 8/2
y = 1/2 x + 5/2
this is in slope intercept form
The legth is 3.6 :) it says it to the right
There is 6.74 quarts left in the cooler.
Since 5 of the glasses have a capacity of 0.36 qt, this is a total of 5(0.36) = 1.8 qt. The 8 glasses that have a capacity of 0.52 qt have a total of 8(0.52) = 4.16 qt. This gives a total of 4.16+1.8 = 5.96 qt.
To find the remaining, subtract from 12.7:
12.7-5.96 = 6.74 qt.
The problem statement says "the graph is shown," but you haven't shared it. Please do that if possible. Thank you.
<span>Heather was asked to graph 2x + 4y = 12 by using slope and y-intercept.
We can quickly put this into slope-intercept form:
12 - 2x
Subtract 2x from both sides: 2x - 2x + 4y = 12 - 2x => y = ------------
4
In simplest form, this is y = 3 - (1/2)x, or (-1/2)x + 3. The slope is -1/2 and the y-intercept is (0,3).</span>
Im pretty sure you would put 1/12 tablespoon of cinnamon in the cakes individually. You would divide 1/4 by 3. It's pretty simple. If that's not the answer I apologize dearly!
